Email
Chat with tutors
Login
Ask Questions, Get Answers
Menu
X
home
ask
tuition
questions
practice
papers
mobile
tutors
pricing
X
Recent questions tagged additionalproblem
Questions
What angle is formed by the y-axis and the tangent to the parabola $ y=x^2+4x-17$ at the point $ p(5/2,-3/4)?$
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q30
p18
math
asked
Jan 29, 2013
by
meena.p
0
answers
If $ P_1\;and\; P_2 $are the lengths of the perpendiculars from origin on the tangent and normal to the curve $ x^{2/3}+y^{2/3}=a^{2/3} $respectively Prove that $ 4P_1^2+P_2^2=a^2$
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q29
p18
math
asked
Jan 29, 2013
by
meena.p
0
answers
Find the equation of normal to the curve $ y=(1+x)^y+\sin^{-1}(\sin^2x)$ at x=0
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q28
p18
math
asked
Jan 29, 2013
by
meena.p
0
answers
Find the interval in which the following functions are increasing or decreasing\[(a)\;y=log \bigg(x+\sqrt{1+x^2}\bigg)\qquad(b)\;y=\frac{10}{4x^3-9x^2+6x}\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q27
p18
math
asked
Jan 29, 2013
by
meena.p
0
answers
Determine the points of maxima and minima of the function $ f(x)= \frac{1}{8}log x-bx+cx^2\; where\; b \geq 0$
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q26
p18
math
asked
Jan 29, 2013
by
meena.p
0
answers
The least value of $ f(x)=\tan -1(\sin x+cos x)$ strictly increasing is \[(a)\;\bigg(\frac{\pi}{4},\frac{\pi}{2}\bigg)\qquad(b)\;\bigg(0,\frac{\pi}{2}\bigg)\qquad(c)\;0\qquad(d)\;none\; of\; these.\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q25
p18
math
asked
Jan 29, 2013
by
meena.p
0
answers
The least value of 'a' such that the function $ f(x)=x^2+ax+1 $ is strictly increasing on (1,2) is \[(a)\;-2\qquad(b)\;2\qquad(c)\;\frac{1}{2}\qquad(d)\;-\frac{1}{2}\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q24
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
The function $ f(x)=-\Large\frac{x}{2}\normalsize+ \sin x $ is always increasing in \[(a)\;\bigg(-\frac{\pi}{2},\frac{\pi}{2}\bigg)\qquad(b)\;\bigg(0,\frac{\pi}{4}\bigg)\qquad(c)\;\bigg(\frac{\pi}{4},\frac{\pi}{2}\bigg)\qquad(d)\;\bigg(-\frac{\pi}{3},\frac{\pi}{3}\bigg)\qquad\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q23
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
If the slope of the tangent is zero at $ (x_1,y_1)$then the equation of the tangent at $(x_1,y_1)$ is \[y_1=mx_1+c \qquad(b)\;y_1=mx_1\qquad(c)\;y-y_1\qquad(d)\;y=0\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q22
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
If $ \Large\frac{dy}{dx} \normalsize =0$ then the tangent is \[(a)\;Parallel to x-axis\qquad(b)\;parallel to y-axis\qquad(c)\;Perpendicular to x-axis\qquad\]\[(d)\;perpendicular to y-axis\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q21
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
The tangents to the curve $ y=x^3+6 $ at the points (-1,5) and (1,7) are \[(a)\;Perpendicular\qquad(b)\;parallel\qquad(c)\;coincident\qquad(d)\;none\; of\; these\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q20
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
The values of a and b for which the function$f(x)= \left\{ \begin{array}{1 1} ax+1 & \quad x\leq3 \\ bx+3 & \quad x>3 \end{array} \right. $ is continuous at x=3 are \[(a)\;3a+2b=5 \qquad(b)\;3a=2+3b\qquad(c)\;3,2\qquad(d)\;none\;of\;these.\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q19
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
'C' on LMV for $f(x)=x^2-3x$ in [0,1] is \[(a)\;0 \qquad(b)\;\frac{1}{2}\qquad(c)\;-\frac{1}{2}\qquad(d)\;does\;not\;exist\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q18
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
If $ y=log \tan \bigg(\Large\frac{\pi}{4}+\frac{\pi}{2}\bigg)$then$\Large\frac{dy}{dx}$is\[(a)\;0 \qquad(b)\;\cos x\qquad(c)\;-\sec x\qquad(d)\;\sec x\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q17
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
If $ x=a(\theta-\sin \theta).y=a(1-\cos \theta) \;then\; \Large\frac{d^2y}{dx^2}\;\normalsize at\;\theta=\Large\frac{\pi}{2}\;is.$\[(a)\;\frac{1}{a}\qquad(b)\;\frac{1}{2}\qquad(c)\;-\frac{1}{a}\qquad(d)\;-\frac{1}{2a}\qquad\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q16
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
The minimum value of f(x) = |3-x| + |2+x| + |5-x| is \[(a)\;0\qquad(b)\;7\qquad(c)\;8\qquad(d)\;10\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q15
p16
math
asked
Jan 28, 2013
by
meena.p
0
answers
The tangent to the curve\[x=a\sqrt{\cos 2\theta} \cos\theta y=a\sqrt{cos2\theta}\sin \theta\]at the point corresponding to $ \theta =\frac{\pi}{6}$ is \begin{array}{1 1}(a)\;Parallel\; to\; the\; x-axis & \qquad (b)\;Parallel\; to\; the\; y-axis \\ (c)\;Parallel\; to\; the\; line\; y = x & \qquad(d)\;none\;of\;these\end{array}
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q14
p17
math
asked
Jan 28, 2013
by
meena.p
0
answers
If the line ax+by+c = 0 is normal to the curve xy = 1 then \[(a)\;a>0,b>0 \qquad (b)\;a<0,b<0 \qquad(c)\;a<0,b>0\qquad(d)\;a<0,b<0.\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q13
p17
math
asked
Jan 28, 2013
by
meena.p
1
answer
$f(x)=\Large\frac{x^2-1}{x^2+1} $ for every real number then minimum value of \begin{array}{1 1}(a)\;does\; not\; exist & \qquad(b)\;is\;not\;attained\;even\;though\;f\;is\;bounded\\(c)\;is\;equal\;to\;1 & \qquad(d)\;is\;equal\;to\;-1\end{array}
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q12
p17
math
asked
Jan 28, 2013
by
meena.p
0
answers
The function $ \Large\frac{\sin(x+\alpha)}{\sin(x+\beta)}$ has no maximum or minimum value if \[(a)\;\beta-\alpha=k\pi\qquad(b)\;\beta-\alpha \neq k\pi\qquad(c)\;\beta-\alpha = 2k\pi\qquad(d)\;None\; of\; these\; where\; k\; is\; an\; integer.\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q11
p16
math
asked
Jan 28, 2013
by
meena.p
0
answers
If $f(x)= \left\{ \begin{array}{1 1} 3x^2+12x-1 & \quad :\;-1\leq x \leq 2 \\37-x & \quad :\;2<x\leq 3 \end{array} \right. $ then\[\begin{array}{1 1}(a)\;f(x)\; is\; increasing\; on\; [-1,2]\\(b)\;f(x)\; is\; continuous\; on\; [-1,3]\\(c)\;f'(2) doesn't \;exist\\(d)\;f(x)\; has\; the\; maximum\; value\; at x = 2\end{array}\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q9
p16
math
asked
Jan 28, 2013
by
meena.p
0
answers
If $\theta$ is the semivertical angle of a cone of maximum volume and given slant height, then $\tan \theta$ is given by \[(a)\;2\qquad(b)\;1\qquad(c)\;\sqrt 2\qquad(d)\;\sqrt 3\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q8
p16
math
asked
Jan 28, 2013
by
meena.p
0
answers
If $ y=a log|x|+bx^2+x $ has its extreme values at x = 1 and x = 2 then\[(a)\;a=2,b=-1\qquad(b)\;a=2,b=-1/2\qquad(c)\;-2,b=1/2\qquad(d)\;none\;of\;these\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q7
p16
math
asked
Jan 28, 2013
by
meena.p
0
answers
The difference between the greatest and the least values of the function $ f(x)=\large\cos x+\large\frac{1}{2}\cos 2x-\frac{1}{3}\cos 3x $ is \[(a)\;2/3\qquad(b)\;8/7\qquad(c)\;9/4\qquad(d)\;3/8\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q6
p16
math
asked
Jan 28, 2013
by
meena.p
0
answers
The co-ordinates of the point p(x,y) in the first quadrant on the ellipse $\Large\frac{ x^2}{8}+\frac{y^2}{18}$=1 so that the area of the triangle formed by the tangent at P and the co-ordinate axes is the smallest are given by \[(a)\;(2,3)\qquad(b)\;(\sqrt 8,0)\qquad(c)\;(\sqrt {18}, 0)\qquad(d)none\;of\;these\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q5
p16
math
asked
Jan 28, 2013
by
meena.p
0
answers
The value of a for which the function $ f(x)=a\sin(x)+\frac{1}{3}\sin 3x.$has an extreme at $ x=\frac{\pi}{3}$ is\[(a)\;1\qquad(b)\;-1\qquad(c)\;0 \qquad(d)\;2\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q4
p16
math
asked
Jan 28, 2013
by
meena.p
0
answers
The function $y=\tan^{-1}x-x $ decreases in the interval of \[(a)\;(1,\infty)\qquad(b)\;(-1,\infty)\qquad(c)\;(-\infty,\infty)\qquad(d)\;(0,\infty)\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q2
p16
math
asked
Jan 28, 2013
by
meena.p
0
answers
The function $ f(x)=2 log (x-2) - x^2+4x+1 $increases in the interval.\[(a)\;(1,2)\qquad(b)\;(2,3)\qquad(c)\;(5/2,3)\qquad(d)\;(2,4)\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q2
p16
math
asked
Jan 28, 2013
by
meena.p
1
answer
The slope of the tangent to the curve represented by $ x=t^2+3t-8\;and\;y=2t^2-2t-5$at the point M(2,-1) is \[(a)\;\frac{7}{6}\qquad(b)\;\frac{2}{3}\qquad(c)\;\frac{3}{2}\qquad(d)\;\frac{6}{7}\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q1
p16
math
asked
Jan 28, 2013
by
meena.p
0
answers
Verify the Rolles Theorem for the function $ f(x)=\sin x- \cos x, $in the interval $ \bigg[\Large\frac{\pi}{4},\frac{5\pi}{4}\bigg]$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q50
p15
easy
math
asked
Jan 28, 2013
by
meena.p
1
answer
Using LMV Theorem, find a point on the curve $ y=(x-3)^2,$ where the tangent is parallel to the chord joining (3,0) and (5,4).
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q49
p15
easy
math
asked
Jan 28, 2013
by
meena.p
1
answer
If f(x) and g(x) are functions derivable in [a,b] such that f(a) = 4, f(b) = 10, g(a) =1, g(b) =3.Show that for a < c < b, we have $ f'(c)=3g'(c).$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q48
p15
math
asked
Jan 28, 2013
by
meena.p
1
answer
It is given that for the function $ f(x)=x^3-6x^2+px+q\;on\;[1,3].$Rolles theorem holds with $ c=2+\large\frac{1}{\sqrt 3}.$Find the values of p and q.
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q47
p15
easy
math
asked
Jan 28, 2013
by
meena.p
1
answer
Verify Rolles theorem for the function $ f(x)=\Large e^{1-x^2}$in the interval [-1,1]
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q46
p14
easy
math
asked
Jan 28, 2013
by
meena.p
1
answer
If $ x\sqrt{1+y}+y\sqrt{1+x}=0,\normalsize\; Prove\; that\; \Large\frac{dy}{dx}=\frac{-1}{(1+x)^2}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q45
p14
difficult
math
sec-b
asked
Jan 28, 2013
by
meena.p
1
answer
If $ y=\sqrt{x^2-1} - log \bigg(\Large\frac{1}{x}+\sqrt{1+\frac{1}{x^2}}\bigg),\;\normalsize find\;\Large\frac{dy}{dx}$
cbse
class12
additionalproblem
ch5
q44
p14
medium
math
sec-b
asked
Jan 28, 2013
by
meena.p
1
answer
Differentiate $ \cos^{-1} \bigg[\large\frac{3 \cos x-2 \sin x}{\sqrt {13}}\bigg] w.r.t \; \sin^{-1} \bigg[\large\frac{5\sin x +4 \cos x}{\sqrt{41}}\bigg]$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q43
p14
p406
difficult
math
sec-a
asked
Jan 28, 2013
by
meena.p
1
answer
If $ x=\cos \theta + log \tan \Large\frac{\theta }{2},\normalsize y=\sin \theta \;find\; \Large\frac {d^2y}{dx^2}\normalsize \;at\;\theta =\Large\frac{\pi}{4}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q42
p14
medium
math
sec-a
asked
Jan 28, 2013
by
meena.p
1
answer
If $ y^{ \cos x}+(\tan^{-1}x)^y=1,find \Large\frac{dy}{dx}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q41
p14
difficult
math
sec-b
asked
Jan 28, 2013
by
meena.p
1
answer
If $ y=f \bigg(\Large\frac{2x-1}{x^2+1}\bigg)\;\normalsize and\;f' (x)=\sin x^2,\;find\; \Large\frac{dy}{dx}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q40
p14
difficult
math
sec-b
asked
Jan 28, 2013
by
meena.p
1
answer
Find $\Large\frac{dy}{dx}$when$y=\tan^{-1}\bigg[\Large\frac{x^{\frac{1}{3}}+a^{\frac{1}{3}}}{1-x^{\frac{1}{3}}a^{\frac{1}{3}}}\bigg]$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q39
p14
easy
math
sec-a
asked
Jan 28, 2013
by
meena.p
1
answer
If $ y=|\cos x|+|\sin x|,\;find\; \Large\frac{dy}{dx}\; \normalsize at\;x=\Large\frac{2\pi}{3}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q38
p14
medium
math
sec-b
asked
Jan 28, 2013
by
meena.p
1
answer
If $ y=\Large\frac{1}{\sqrt{b^2-a^2}} \normalsize log \bigg[\Large\frac{\sqrt{b+a}+\sqrt{b-a}\tan \frac{x}{2}} {\sqrt{b+a}-\sqrt{b-a}\tan \frac{x}{2}}\bigg]$ prove that $ \Large\frac {dy}{dx}=\frac{\sec^2\frac{x}{2}}{(b+a)-(b-a) \tan^2\frac{x}{2}}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q37
p14
difficult
math
sec-b
asked
Jan 28, 2013
by
meena.p
1
answer
If $ \sqrt { 1-x^2} +\sqrt {1-y^2}=a(x-y),\;prove\;that\;\Large\frac{dy}{dx}=\sqrt{\frac{1-y^2}{1-x^2}}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q36
p14
difficult
math
sec-b
asked
Jan 25, 2013
by
meena.p
1
answer
Let $y= \tan^{-1}\bigg[\Large\frac{4x}{1+5x^2}\bigg] \normalsize +\tan^{-1}\bigg[\Large\frac{2+3x}{3-2x}\bigg],$ show that $ \Large\frac{dy}{dy}=\frac{5}{1+25x^2}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q33
p13
medium
math
sec-a
asked
Jan 25, 2013
by
meena.p
1
answer
Given that $ \cos \frac{x}{2}.\cos \frac{x}{4}.\cos \frac{x}{8}.......=\Large\frac {\sin x}{x},$ \[Prove\;that\;\frac{1}{2^2}\sec^2\frac{x}{2}+\frac{1}{2^4}\sec^2\frac{x}{4}+.......=cosec^2x-\frac{1}{x^2}\]
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q31
p13
difficult
math
sec-a
asked
Jan 25, 2013
by
meena.p
1
answer
Find $\Large\frac{dy}{dx},$ when $y=\sin^{-1}\bigg[x\sqrt{1-x}-\sqrt x \sqrt{1-x^2}\bigg]$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q30
p13
medium
math
sec-a
asked
Jan 25, 2013
by
meena.p
1
answer
Differentiate w.r.t. x, $ y=\tan^{-1}\bigg[\Large\frac{a\cos x-b\sin x}{b\cos x+a \sin x}\bigg]$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q29
p13
medium
math
sec-a
asked
Jan 25, 2013
by
meena.p
1
answer
If $ y=\frac{2}{\Large\sqrt {a^2-b^2}}\tan^{-1}\bigg[\sqrt{\frac{a-b}{a+b}}\tan \frac{x}{2} \bigg],$ prove that $ \Large\frac{dy}{dx}=\frac{1}{a+b \cos x}, \normalsize a>b>0 $
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q28
p13
difficult
math
sec-b
asked
Jan 25, 2013
by
meena.p
1
answer
If $y=\sin ^{-1}\big [x^2\sqrt{1-x^2}+x\sqrt {1-x^4}\big],$ prove that $ \Large\frac{dy}{dx}=\frac{2x}{\sqrt{1-x^4}}+\frac{1}{\sqrt{1-x^2}}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q27
p13
easy
math
sec-a
asked
Jan 25, 2013
by
meena.p
1
answer
Page:
« prev
1
...
12
13
14
15
16
17
18
next »
Home
Ask
Tuition
Questions
Practice
Your payment for
is successful.
Continue
...