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Recent questions and answers in ISC XII Math
Questions
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ISC XII Math
ISC XII Math
Model Papers
Akhil and Vijay appear for an interview for two vacancies.The probability of Akhil's selection is $\large\frac{1}{4}$ and Vijay's selection is $\large\frac{2}{3}$.Find the probability that only one of them will be selected.
isc
class12
modelpaper
2010
sec-a
q8
q8-a
answered
Jul 27
by
ravigk01
1
answer
Verify Rolle's theorem for the function $f(x)=e^{2x}(\sin 2x-\cos 2x)$ defined in the interval $\begin{bmatrix}\large\frac{\pi}{8},\frac{5\pi}{8}\end{bmatrix}$
isc
class12
modelpaper
2006
sec-a
q5
q5-a
answered
Jul 22
by
kishorevenkatkm
1
answer
If $M(\theta)=\begin{bmatrix}\cos \theta & \sin\theta\\-\sin\theta &\cos\theta\end{bmatrix}$,show that $M(x)M(y)=M(x+y).$
isc
class12
modelpaper
2009
sec-a
q1
q1-1
answered
May 20
by
umeshjoshi5689
1
answer
Calculate Spearman's rank correlation coefficient between the advertisement cost and sales from the following data :
isc
class12
modelpaper
2006
sec-a
q7
q7-a
answered
Apr 16
by
karinashaikh49
1
answer
Find the area enclosed by the curves $y^2=x$ and $y^2=4-3x$.
isc
class12
modelpaper
2007
sec-a
q6
q6-b
answered
Mar 12
by
www.9ishanki9
1
answer
Five bad eggs are mixed with 10 good ones.If three eggs are drawn one by one with replacement ,find the probability distribution of the number of goods eggs drawn.
isc
class12
modelpaper
2010
sec-b
q12
q12-b
answered
Mar 8
by
mehmoodmudassir
1
answer
A dice is tossed three times.Getting a '3' or a '5' is considered a success.Find the probability of at least two successes.
isc
class12
modelpaper
2004
part-2
sec-c
q13
q13-a
answered
Feb 8
by
sdadhich.bst
1
answer
A box contains 4 red and 5 black marbles.Find the probability distribution of the red marbles in a random draw of three marbles.Also find the mean and standard deviation of the distribution.
isc
class12
modelpaper
2011
sec-b
q12
q12-a
answered
Jan 24
by
priyanshi.mohta11
1
answer
Assuming that on an average one telephone out of 10 is busy,seven telephone numbers are randomly selected and called.Find the probability that three of them will be busy.
isc
class12
modelpaper
2007
sec-a
q8
q8-b
answered
Jan 17
by
anishdey45
1
answer
Calculate the coefficient of correlation between X and Y from the following data using Karl Pearson's method :
isc
class12
modelpaper
2007
sec-a
q7
q7-a
answered
Jan 9
by
swayammohapatra2000
1
answer
If total cost function is given by $C=a+bx+cx^2$,where x is the quantity of output.Show that : $\frac{d}{dx}(AC)=\frac{1}{x}(MC-AC),$where $MC$ is the marginal cost and $AC$ is the average cost.
isc
class12
modelpaper
2012
sec-c
q14
q14-b
answered
Dec 29, 2019
by
spuaprajapati1975
1
answer
Using Rolle's theorem,find a point on the curve $y=\sin x+\cos x-1,x\in \begin{bmatrix}0,\large\frac{\pi}{2}\end{bmatrix}$ where the tangent is parallel to the x-axis.
isc
class12
modelpaper
2010
sec-a
q3
q3-a
answered
Dec 23, 2019
by
ishas4761
2
answers
A class consists of 50 students out of which there are 10 girls.In the class 2 girls and 5 boys are rank holders in an examination.If a student is selected at random from the class and is found to be a rank holder,what is the probability that the student selected is a girl?
isc
class12
modelpaper
2008
sec-c
q15
q15-b
answered
Dec 20, 2019
by
ayushsharma934516
1
answer
The following table shows the sales and advertisement expenditure of a firm :
isc
class12
modelpaper
2006
sec-a
q7
q7-b
answered
Dec 11, 2019
by
neeleshgour44
1
answer
A company is selling a certain product.The demand function of the product is linear.The company can sell 2000 units when the price is Rs.8 per unit and when the price is Rs.4 per unit,it can sell 3000 units,Determine :
isc
class12
modelpaper
2005
sec-c
q14
q14-b
answered
Oct 22, 2019
by
faizala626
1
answer
Sample of polythene bags from a manufacturer are tested by a buyer for bursting pressure with the following data :
isc
class12
modelpaper
2003
part-2
sec-c
q12
q12-a
answered
Jul 15, 2019
by
fjmuna7267
1
answer
If the regression equation of $x$ on $y$ is given by $mx-y+10=0$ and the equation of $y$ on $x$ is given by $-2x+5y=14$,determine the value of 'm' if the coefficient of correlation between $x$ and $y$ is $\large\frac{1}{\sqrt {10}}$.
isc
class12
modelpaper
2010
sec-a
q1
q1-8
answered
Jun 27, 2019
by
kavinilavu2812
1
answer
Using properties of determinants,show that $P\alpha^2+2q\alpha+r=0$,given that :p,q and r are not in G.P and $\begin{vmatrix}1 & \large\frac{q}{p} & \alpha+\large\frac{q}{p}\\1 & \large\frac{r}{q} & \alpha+\large\frac{r}{q}\\p\alpha+q &q\alpha+r &0\end{vmatrix}=0$.
isc
class12
modelpaper
2011
sec-a
q2
q2-a
answered
Apr 28, 2019
by
veerpalsidhu110
2
answers
If the two regression lines of a bivariate distribution are $4x-5y+33=0$ and $20x-9y-107=0$,
isc
class12
modelpaper
2009
sec-a
q7
q7-b
answered
Apr 15, 2019
by
anonymo007007007
1
answer
Compute Karl Pearson's Coefficient of correlation between sales and expenditures of a firm for six months
isc
class12
modelpaper
2011
sec-a
q7
q7-b
answered
Feb 21, 2019
by
himayathkhan132
1
answer
Draw a rough sketch of the curve $y=x^2-5x+6$ and find the area bounded by the curve and the $x$-axis.
isc
class12
modelpaper
2010
sec-a
q6
q6-b
answered
Feb 5, 2019
by
yamunabisht9458
1
answer
A closed right circular cylinder has volume $\large\frac{539}{2}$cubic units.Find the radius and the height of the cylinder so that the total surface area is minimum.
isc
class12
modelpaper
2010
sec-a
q5
q5-b
answered
Jan 30, 2019
by
varunsai051
1
answer
Three numbers are given whose sum is $180$ and the ratio between first two of them is $1: 2$.If the product of the number is greatest,find the numbers.
isc
class12
modelpaper
2003
part-2
sec-a
q6
answered
Jan 25, 2019
by
suhitagarwal9
1
answer
show that the function $f(x)=x^2-6x+1$ satisfies the Lagrange's Mean value Theoem.Also find the co-ordinate of a point at which the tangent to the curve represented by the above function is parallel to the chord joining A(1,-4) and B(3,-8).
isc
class12
modelpaper
2004
part-2
sec-a
q5
q5-a
answered
Jan 21, 2019
by
ranjani.hogwarts
1
answer
Two lines of regression are given by x+2y-5=0, 2x+3y-8=0 and Ïƒ2x("sigma squared"x)=12, Calculate the mean value of x and y, variable of Y and the coefficient of correlation between x and y.
answered
Jan 16, 2019
by
g.cute143
2
answers
It is given that Rolle's theorem holds good for the function : $f(x)=x^3+ax^2+bx,x\in [1,2]$ at the point $x=\large\frac{4}{3}$.Find the values of a and b.
isc
class12
modelpaper
2009
sec-a
q5
q5-a
answered
Jan 6, 2019
by
tejasri52.prasanna
1
answer
Two horses are considered for a race.The probability of selection of the first horse is $\large\frac{1}{4}$ and that of the second is $\large\frac{1}{3}$.What is the probability that :
isc
class12
modelpaper
2009
sec-a
q1
q1-7
answered
Jan 5, 2019
by
ionathomas2
1
answer
Bag contains 2 white,1 black and 3 red balls,Bag B contains 3 white ,2 black and 4 red balls and Bag C contains 4 white ,3 black and 2 red balls.One Bag is chosen at random and 2 balls are drawn at random from that Bag.If the randomly drawn balls happen to be red and black,what is the probability that both balls come from Bag B?
isc
class12
modelpaper
2011
sec-b
q12
q12-b
answered
Dec 6, 2018
by
hrithwikp
1
answer
A company has two plants which manufacture scooters.Plant I manufactures 80% of the scooters while Plant II manufactures 20% of the scooters.At plant I ,85 out of 100 scooters are rated as being of standard quality,while at Plant II only 65 out of 100 scooters are rated as being of standard quality.If a scooter is of standard quality,what is the probability that it came from Plant I?
isc
class12
modelpaper
2006
sec-c
q15
q15-b
answered
Nov 19, 2018
by
dhavaltailor80
1
answer
A factory has three machines A,B and C producing 1,500,2,500 and 3,000 bulbs per day,respectively.Machine A produces 1.5% defective bulbs,machine B produces 2% defective bulbs and machine C produces 2.5% defective bulbs.At the end of the day,a bulb is drawn at random and is found to be defective.What is the probability that this defective bulb has been produced by machine B?
isc
class12
modelpaper
2010
sec-b
q12
q12-a
answered
Nov 8, 2018
by
gabbasarkhel123
1
answer
A closed circular cylinder has a volume of 2156c.c.What will be the radius of its base so that its total surface area is minimum.Find the height of the cylinder when its total surface area is minimum.
isc
class12
modelpaper
2004
part-2
sec-a
q6
answered
Nov 3, 2018
by
alamt1785
1
answer
(i) Show that the second degree equations $x^2-5xy+4y^2+x+2y-2=0$ represents a pair of straight lines.(ii) Find the equations of the individual lines and their point of intersection.
isc
class12
modelpaper
2008
sec-a
q3
q3-a
answered
Oct 23, 2018
by
binod.kr.singh2106
1
answer
A fair die is thrown once.What is the probability that either an even number or a number greater than three will turn up?
isc
class12
modelpaper
2010
sec-a
q1
q1-7
answered
Sep 28, 2018
by
saravananmaths434
1
answer
Tickets numbered from 1 to 20 are mixed up together and then a ticket is drawn at random.What is the probability that the ticket has a number which is a multiple of 3 or 7.
isc
class12
modelpaper
2005
sec-a
q1
q1-7
answered
Sep 26, 2018
by
saravananmaths434
1
answer
In a single throw of two dice,find the probability of getting a total of at most 9.
isc
class12
modelpaper
2008
sec-a
q1
q1-7
answered
Sep 26, 2018
by
saravananmaths434
1
answer
A manufacturer manufactures two types of tea-cups,A and B.Three machines are needed for manufacturing the tea cups.The time in minutes required for manufacturing each cup on the machines is given below :
isc
class12
modelpaper
2011
sec-c
q13
q13-b
answered
Mar 11, 2018
by
sheejakpni75
1
answer
A manufacturer produces two types of steel trunks.He has two machines,A and B.The first type of trunk requires 3 hours on machine A and 3 hours on machine B.The second type requires 3 hours on machine A and 2 hours on machine B.Machines A and B can work at most for 18 hours and 15 hours per day respectively.He earns a profit of Rs. 30 per trunk on the first type of trunk and Rs. 25 per trunk on the second type.Formulate a Linear Programming Problem to find out how many trunks of each type he must make each day to maximise his profit.
isc
class12
modelpaper
2008
sec-c
q14
q14-a
answered
Mar 4, 2018
by
chandsuresh137
1
answer
A word consists of 9 different alphabets,in which there are 4 consonants and 5 vowels.Three alphabets are chosen at random .What is the probability that more than one vowel will be selected?
isc
class12
modelpaper
2011
sec-a
q1
q1-9
answered
Feb 23, 2018
by
Suseearun01
1
answer
Use Lagrange's mean value theorem to be determine a point P on the curve $y=\sqrt{x-2}$ defined in the interval [2,-3],where the tangent is parallel to the chord joining the end points on the curve.
isc
class12
modelpaper
2008
sec-a
q5
q5-a
answered
Feb 18, 2018
by
mahamsalahuddin3
1
answer
A manufacturing firm produces steel pipes in three plants A,B and C with daily production of 500,1000 and 2000 units respectively.The fractions of defective steel pipes output produced by the plants A,B and C are respectively .005, .008 and .010.If a pipe is selected from a day's total production and found to be defective,find out the probability that it came from the first plant.
isc
class12
modelpaper
2005
sec-c
q15
q15-a
answered
Jan 20, 2018
by
karthiga473sc
1
answer
There are two series of index numbers : P for price index and S for stock of a commodity.The mean and standard deviation of P are 100 and 8 and of S are 103 and 4 respectively.The correlation coefficient between the two series is 0.4,with these data,obtain the regression lines of P on S and S on P.
isc
class12
modelpaper
2005
sec-a
q7
q7-b
answered
Dec 9, 2017
by
adv.rathore1974
1
answer
Solve the following linear equations using the matrix method : $x+y+z=9,2x+5y+7z=52,2x+y-z=0$.
isc
class12
modelpaper
2009
sec-a
q2
q2-b
answered
Jul 18, 2017
by
pady_1
1
answer
A wire of length 20m is available to fence off a flower bed in the form of a sector of a circle.What must be the radius of the circle,if we wish to have a flower bed with the greatest possible area?
isc
class12
modelpaper
2009
sec-a
q5
q5-b
answered
Apr 5, 2017
by
anukriti.maths
1
answer
Three persons A,B and C shoot to hit a target.If in trials,A hits the target 4 times in 5 shots,B hits 3 times in 4 shots and C hits 2 times in 3 trials.Find the probability that :
isc
class12
modelpaper
2012
sec-a
q1
q1-9
answered
Oct 20, 2016
by
pady_1
1
answer
A problem in mathematics is given to three students A,B and C.Their chances of solving the problem are $\large\frac{1}{3}$,$\large\frac{1}{4}$ and $\large\frac{1}{5}$ respectively.Calculate the probability that the problem will be solved.
isc
class12
modelpaper
2003
part-2
sec-c
q13
q13-b
answered
Mar 26, 2016
by
nihar.more33
1
answer
A candidate is selected for interview of management trainees for 3 companies.For the first company,there are 12 candidates,for the second there are 15 candidates and for the third,there are 10 candidates.Find the probability that he is selected in at least one of the companies.
isc
class12
modelpaper
2005
sec-a
q8
q8-b
answered
Sep 4, 2015
by
Anjanatadiboyina12
1
answer
A plane passes through the point (4,2,4) and is perpendicular to the planes $2x+5y+4z+1=0$ and $4x+7y+6z+2=0$.Find the equation of the plane.
isc
class12
modelpaper
2005
sec-b
q10
q10-a
answered
Sep 3, 2015
by
meena.p
1
answer
A straight line is parallel to the x-axis and passes through the intersection of the lines $x+2y+1=0$ and $y=x+7$.Find the equation of the straight line.
isc
class12
modelpaper
2006
sec-a
q1
q1-2
answered
Sep 2, 2015
by
vijayalakshmi.r
1
answer
Solve the following system of liner questions by matrix inverse method. 2x+2y+6z=52, 3x+2y+z=26, 2x+2y+6z=18
asked
Jul 6, 2015
by
sahunitinkumar68
1
answer
Using Demoivre's theorem,find the least value of n for which $\bigg(\large\frac{i+\sqrt 3 i}{\sqrt 2(1+i)}\bigg)^n$ is purely imaginary.
isc
class12
modelpaper
2003
part-2
sec-d
q16
q16-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
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