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CBSE XII
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Math
Math
Model Papers
Relations and Functions
Inverse Trigonometric Functions
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Probability
Prove that every real valued function which is derivable at a point of its domain is also continuous at that point. Is the converse true?
cbse
class12
modelpaper
2012
sec-b
q15
math
answered
May 18
by
sbi071403
1
answer
Show that the function \( f : Z \rightarrow Z \) defined by \( f(x)=x^2\) is neither one-one nor onto.
cbse
class12
modelpaper
2012
sec-b
q11
math
answered
Sep 9, 2022
by
hackerboyqwerty123
1
answer
A calculator manufacturing company finds that the daily cost of producing calculators is given by C(x) = 200x + 7500. • If each calculator is sold for Rs. 350, find the minimum number of calculators that must be produced daily and sold to ensure no loss. • If the selling price is increased by Rs. 150, what would be the break-even point?
cbse
class12
modelpaper
2005
sec-c
q25
math
answered
Jun 20, 2022
by
thor69565
1
answer
Let * be a binary operation on the set of real numbers. If a * b = a+b-ab, 2 * ( 3 * x ) = -7, find the value of x.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q3
p3
math
sec-b
answered
Apr 26, 2021
by
kuppurajanbharathi
1
answer
A, B and C are engaged in a printing business. A being the working partner, receives 10% of the net profit as salary. The remaining profit is divided among themselves in the ratio 4:5:9. If A gets in total Rs. 3,00,000, find the total profit in the business and the shares of B and C in it.
cbse
class12
modelpaper
2005
sec-c
q23
math
answered
Dec 22, 2020
by
makumarsahu2004
1
answer
A furniture firm manufactures chairs and tables, each requiring the use of three machines A, B and C. Production of each chair requires 2 hours on machine A, 1 hour on machine B and 1 hour on machine C. Each table requires 1 hour each on machine A and B and 3 hours on machine C. The profit obtained by selling one chair is Rs. 30 while by selling one table the profit is Rs. 60. The total time available per week on machine A is 70 hours, on machine B is 40 hours and on machine C is 90 hours. How many chairs and tables should be made per week so as to maximise profit? Formulate the problem as LPP and solve it graphically.
cbse
class12
modelpaper
2012
sec-c
q28
math
answered
Dec 11, 2020
by
ms21012003
1
answer
Find the present worth of an ordinary annuity of Rs. 1,200 per annum for 10 years at 12% per annum, compounded annually. [Use (1.12) -10 =0.3221]
cbse
class12
modelpaper
2005
sec-c
q24
math
answered
Oct 31, 2020
by
sarikabora999
1
answer
There are two families P and Q. There are 3 men, 3 women and 12 children in family P and 2 men, 2 women and 4 children in family Q. The recommended daily allowance for calories is : Man : 2400, woman : 2000, child: 1400 and man : 60 g for proteins is : woman: 40 g and child: 35 g. (i) Represent the above information by matrices. Using matrix multiplication, calculate the total requirement of calories and proteins of each of the two families.
cbse
class12
modelpaper
2012
sec-b
q13
math
answered
Oct 25, 2020
by
sharmaaseem2406
1
answer
Solve the following LPP graphically. Maximize or minimize Z = 3x+5y subject to \[3x-4y\geq-12\]\[2x-y+2\geq0\]\[2x+3y-12\geq0\]\[0\leq x\leq4\]\[y\geq2\]
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q7
p40
math
answered
Oct 19, 2020
by
rvandana115
1
answer
A pure inductor is connected across an a.c. source. Show mathematically that the current in it lags behind the applied e.m.f by a phase angle of $\large\frac{\pi}{2}$ What is its inductive reactance? Draw a graph showing variation of inductive reactance with the frequency of the a.c. source.
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
Oct 17, 2020
by
badalbhardwaj2
1
answer
A toy company manufactures two types of dolls, A and B. Each doll of type B takes twice as long as to produce as one of type A. If the company produces only type A. It can make a maximum of 2000 dolls per day. The supply of plastic is sufficient to produce 1500 dolls per day. Type B requires a fancy dress which cannot be available for more than 600 per day. If the company makes profit of Rs.3 and Rs.5 per doll respectively on doll A and doll B, how many of each should be produced per day in order to maximise the profit?
cbse
class12
modelpaper
2012
sec-c
q24
math
answered
Oct 5, 2020
by
rise.sparkle13
1
answer
Solve:\[ydx-(x+2y)^2dy=0\]
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q9
p33
sec-b
math
answered
Oct 1, 2020
by
gilledobaleros
1
answer
Using matrices, solve the following : $2x+y-3z=13; x+y-z=6 ;2x-y+4z = -12$
cbse
class12
modelpaper
2012
sec-c
q23
math
answered
Jul 9, 2020
by
hjaspinder
1
answer
Use definite integration, find the area of triangle whose vertices are (-1,6),(1,2) and (5,4).
cbse
class12
modelpaper
2012
sec-c
q25
math
answered
May 21, 2020
by
sreejaunnikrishnan161
1
answer
An AC voltage of peak $20\;V$ is connected in series with a silicon diode and a load resistance of $500 \Omega$. The forward resistance of the diode is $10 \Omega$ and the barrier voltage is $0.7\;V$. Find the peak current through diode and the peak voltage across the load. What will happen to these values if the diode is assumed to be ideal?
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
Apr 2, 2020
by
manishkr1456
1
answer
Show that the area enclosed by the circle $ x^2+y^2=64a^2$ and the parabola $y^2=12ax$ is $ a^2 \bigg(\frac{16}{\sqrt 3}+\large\frac {64\pi}{\sqrt 3}\bigg)$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q5
p31
math
answered
Apr 1, 2020
by
aparme03
1
answer
Let $f:R_+\rightarrow[-5,\infty) $ given by $f(x)=9x^2+6x-5.$ show that f is invertiable with $ f^{-1}(y)=\frac{\sqrt{y+6}-1}{3}.$
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q16
p3
math
sec-b
answered
Mar 21, 2020
by
hk0312109
1
answer
Give an example to show that the relation R in the set of natural numbers, defined by \( R = ( (x,y), x, y \in\: N, x \leq \: y^2) \) is not transitive.
cbse
modelpaper
2012
sec-a
q1
answered
Mar 20, 2020
by
neelurani06041980
1
answer
The area of the region in the first quadrant enclosed by the x-axis,the line y=x and the circle $x^2+y^2=32$ is \begin{array}{1 1}(A)\;16\pi\; sq.units & (B)\;4\pi \;sq.units\\(C)\;32\pi\; sq.units & (D)\;24\pi\;sq.units \end{array}
cbse
class12
ch8
q27
p178
objective
exemplar
sec-b
difficult
math
answered
Mar 17, 2020
by
kharbans823
2
answers
What is the degree of the following differential equation? $ y\large\frac{d^2y}{dx^2}+\bigg(\frac{dy}{dx} \bigg)^3$$=x \bigg( \large\frac{d^3y}{dx^3} \bigg)^2 $
cbse
class12
modelpaper
2012
sec-a
q7
math
answered
Mar 17, 2020
by
anilmathappsc
1
answer
Find the order and degree of the differential equation $\bigg[ 1+ \bigg(\large \frac{dy}{dx} \bigg)^2 \bigg]^{\large\frac{3}{2}} = \frac{d^2y}{dx^2} $
cbse
class12
modelpaper
2012
sec-a
q7
math
answered
Mar 17, 2020
by
anilmathappsc
1
answer
Find the area of the region enclosed between the circles $ x^2+y^2=1\;and\;\bigg(x-\frac{1}{2}\bigg)^2+y^2=1$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q23
p32
math
answered
Mar 16, 2020
by
msq6786
1
answer
Let X denote the sum of the numbers obtained when two fair dice are rolled. Find the variance and standard deviation of X.
cbse
class12
bookproblem
ch13
sec4
p571
q13
sec-b
medium
math
answered
Feb 18, 2020
by
surafelalemgirma91
2
answers
Find the equation of the plane passing through the intersection of planes \( 4x-y+z=10\: and \: x+y-z=4\) and parallel to the line with direction ratios < 2, 1, 1>. Find also the perpendicular distance of (1, 1, 1) from the plane.
cbse
class12
modelpaper
2012
sec-c
q24
math
answered
Feb 17, 2020
by
jyotiverma221997
1
answer
Find the area of the segment cut off from the parabola $ y^2=2x$ by the line $ y=4x-1$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q4
p31
math
answered
Dec 22, 2019
by
gourishanker2431
1
answer
Let A = set of boys of XII class in some school. Let a R b, if and only if a and b use unfair means in the exam, \( a, b \in A\) Is R a transitive relation?
cbse
class12
modelpaper
2012
sec-b
q11
math
answered
Oct 25, 2019
by
Dadwalgaurav07
1
answer
To test the quality of electric bulbs produced in a factory, two bulbs are randomly selected from a large sample without replacement. If either bulb is defective, the entire lot is rejected. Suppose a sample of 200 bulbs contains 5 defective bulbs. Find the probability that the sample will be rejected.
cbse
class12
modelpaper
2012
sec-b
q22
math
answered
Sep 18, 2019
by
addisutheking
1
answer
find the equation of the normal to the curve y=x^3+2x^2 at x=0 find the coo
math
answered
Jul 20, 2019
by
noorlh
1
answer
From the point P(1, 2, 4 ) a perpendicular is drawn on the plane \( 2x+y-2z+3 = 0 \). Find the equation of the length and coordinates of the foot of the \( \bot \)
cbse
class12
modelpaper
2012
sec-c
q27
math
answered
Jul 20, 2019
by
vikashkumarpaswan858
1
answer
P(A speaks truth is) = 4/5 . A coin is tossed. 'A' reports that a head appears. The probability that actually there was a head is.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q43
p43
math
answered
Jul 13, 2019
by
fad.vhora
1
answer
A speaks truth 8 times out of 10 times. A dice is tossed. He reports that it was 5. What is the probability that it was actually 5?
cbse
class12
modelpaper
2012
sec-b
q22
math
answered
Jul 13, 2019
by
fad.vhora
1
answer
A cylindrical metallic wire is stretched to increase its length by $5\%$. Calculate the percentage change resistance.
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
Jul 9, 2019
by
jesanivar
1
answer
Find the volume of the tetrahedron formed by the four planes $x+y=0,y+z=0,z+x=0,x+y=1$
cbse
class12
ch10
answered
Jul 9, 2019
by
meena.clay6
1
answer
Given P(A) = 0.3, P(B) = 0.2, Find P(B/A) if A and B are mutually exclusive events.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q3
p41
math
answered
Jul 1, 2019
by
abhav31
5
answers
If $ f^1(x)=g(x)\;and\;g^1(x)=-f(x)$ for all n and $f(2)=f^1(2)=4,$ find the value of $f^2(24)+g^2(24)$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q5
p11
math
sec-a
answered
Jun 24, 2019
by
premkht
1
answer
Find the area bounded by the x-axis part of the curve $ y=1+\Large\frac{8}{x^2}$ and the ordinates x = 2 and x = 4 If the ordinate at x = a divides the area into two equal parts find 'a'
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q2
p31
math
answered
Jun 8, 2019
by
keerthanapradeeshbabu
1
answer
A company makes two kinds of belts, belt A is of pure leather and belt B is macro based. The respective profits are Rs.40 and Rs.30 per belt. Each belt of type A requires twice as much time as a belt of type B and if all the belts were of type B a company could make 1000 belts per day. The supply of leather and macro is sufficient for only 8000 belts per day (both A and B combined). Belt A requires a fancy buckle and only 4000 buckles are available. There are only 7000 buckles per day available for belt B. What should be the daily production of each belt to have maximum profit?
cbse
class12
modelpaper
2012
sec-c
q28
math
answered
Jun 3, 2019
by
sripada.teja
1
answer
In Young’s double slit experiment, the two slits $0.15\;m$ apart are illuminated by monochromatic light of wavelength 450nm.$ The screen is $1.0\;m$ away from the slits. 1. Find the distance of the second a) bright fringe b) dark fringe from the central maximum. 2. How will the fringe pattern change, if the screen is moved away from the slits?
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
May 30, 2019
by
utkarshguptamahan
1
answer
Show that the volume of the greatest cylinder that can be inscribed in a cone of height 'h' and semi-vertical angle \( \alpha \) is \( \large\frac{4}{27}\pi h^3\tan^2 \alpha \).
cbse
class12
modelpaper
2012
sec-c
q24
math
answered
Apr 15, 2019
by
supriyadutta98
1
answer
Differentiate ‘Cry’ and ‘cry’
cbsc
class 12
biology
biodiversity and its applications
sec-b
answered
Apr 9, 2019
by
priyanka.clay6
1
answer
If A is a square matrix of order 3 such that |adj A|=64. Find |A'|.
cbse
class12
modelpaper
2012
sec-a
q4
math
answered
Apr 8, 2019
by
rp075974
1
answer
A square matrix A, of order 3, has | A | = 5, find | A.adj.A |.
cbse
modelpaper
2012
sec-a
q5
answered
Apr 8, 2019
by
rp075974
1
answer
If A is square matrix of order 3 such that | adj.A |=81, find | A |.
cbse
class12
modelpaper
2012
sec-a
q1
math
answered
Apr 8, 2019
by
rp075974
2
answers
If A is an invertible matrix of order 3 and |A|=5 then find [adj.A].
cbse
class12
modelpaper
2012
sec-a
q4
math
answered
Mar 20, 2019
by
vinothperiyasamy.1991
1
answer
A small manufacturer has employed 5 skilled men 10 semi - skilled men and makes an article in two qualities deluxe model and an ordinary model. The making of a deluxe model requires 2 hrs work bt skilled man and 2 hrs work by a semi skilled man. The ordinary model requires 1 hr by a skilled man and 3 hrs by a semi skilled man. By union rules no mam may work more than 8 hrs per day. The manufactures clear profit on deluxe model is Rs.15 and an orsinary model is Rs. 10. How many of each type should be made in order to maximize his total daily profit.
cbse
class12
math
modelpaper
mock-test-series-2015
sec-c
answered
Mar 18, 2019
by
neenanagpal21
1
answer
Find the equation of the plane which contains the line of intersection of the planes $ \overrightarrow r. (\hat i + 2\hat j + 3\hat k ) -4 = 0 \overrightarrow r. (2\hat i + \hat j - \hat k ) + 5 = 0$ and which is perpendicular to the plane $\overrightarrow r. (5\hat i + 3\hat j - 6\hat k ) + 8 = 0 $ .
cbse
class12
modelpaper
2012
sec-c
q27
math
answered
Mar 17, 2019
by
kavithakavitha1805
1
answer
Give an account of Hershey and Chase experiment. What did it conclusively prove? If both DNA and pro
cbse
class12
ch6
exemplar
theoryquestion
biology
sec-e
molecular basis of inheritance
asked
Jul 5, 2017
by
pady_1
1
answer
During reproduction, the chromosome number (2n) reduces to half (n) in the gametes and again the ori
cbse
class12
ch3
exemplar
theoryquestion
biology
sec-a
human reproduction
asked
Jun 14, 2017
by
pady_1
1
answer
find intervals in which function given by f(x) = sin 3x where x belongs [0, pi/2] is 1 increasing 2 decreasing
asked
Feb 26, 2017
by
myselfdishu
1
answer
Which one of the following is a bird flu virus?
cbse
class12
biology
zoology
neet
sec-a
asked
Jan 25, 2017
by
priyanka.c
1
answer
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