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Recent questions tagged cbse
Questions
If $x$ and $y$ are connected parametrically by the equations given in $ x = a ( \cos \theta + \theta \sin \theta), y = a ( \sin \theta - \theta \cos \: \theta) $ without eliminating the parameter, Find $\frac{\large dy}{\large dx}$.
cbse
class12
bookproblem
ch5
sec6
q10
p181
sec-a
easy
math
asked
Nov 20, 2012
by
thanvigandhi_1
1
answer
If $x$ and $y$ are connected parametrically by the equations given in $x = a \sec \theta, y = b \tan \theta $ without eliminating the parameter, Find $\frac{\large dy}{\large dx}$.
cbse
class12
bookproblem
ch5
sec6
q9
p181
easy
sec-a
math
asked
Nov 20, 2012
by
thanvigandhi_1
1
answer
If $x$ and $y$ are connected parametrically by the equations given in $x = a \big(\cos t +\ log \tan \large\frac{t}{2}\big) $ and $ y = a \sin t $ without eliminating the parameter, Find $ \frac{\large dy}{\large dx}$
cbse
class12
bookproblem
ch5
sec6
q8
p181
sec-b
medium
math
asked
Nov 20, 2012
by
thanvigandhi_1
1
answer
If $x$ and $y$ are connected parametrically by the equations given in $ x = \large\frac{\sin^3t}{\sqrt {\cos 2t}}, $$y = \large\frac{\cos^3t}{\sqrt {\cos 2t}} $ without eliminating the parameter, Find $\large\frac{ dy}{ dx}$.
cbse
class12
bookproblem
ch5
sec6
q7
p181
difficult
sec-c
math
asked
Nov 20, 2012
by
thanvigandhi_1
1
answer
If $x$ and $y$ are connected parametrically by the equations given in $x = a ( \theta - \sin \theta ), y = a ( 1 +\cos \theta) $ without eliminating the parameter, Find $\large\frac{dy}{dx}$
cbse
class12
bookproblem
ch5
sec6
q6
p181
easy
sec-b
math
asked
Nov 20, 2012
by
thanvigandhi_1
1
answer
Determine whether or not each of the definition of $\ast$ given below gives a binary operation. In the event that $\ast$ is not a binary operation, give justification for this - On$ \; Z^+,\,$ defined $*\,$ by$\; a*b= a-b $
cbse
class12
bookproblem
ch1
sec4
q1
q1-1
p24
easy
sec-a
math
asked
Nov 19, 2012
by
vaishali.a
1
answer
Let \(f : R - \{ - \frac {4} {3} \} \to R \) be a function defined as \(f(x)= \frac {4x} {3x+4} \) .The inverse of \(f\) is the map \(g\): Range \(f \to R - \{ - \frac {4} {3} \} \) given by
cbse
class12
bookproblem
ch1
sec3
q14
p19
medium
sec-b
math
asked
Nov 19, 2012
by
vaishali.a
1
answer
If $f: R\to R$ be given by $f(x)=(3-x^3)^\frac {1}{3} $, then $fof(x)$ is
cbse
class12
bookproblem
ch1
sec3
q13
p19
sec-a
math
asked
Nov 19, 2012
by
vaishali.a
1
answer
If $x$ and $y$ are connected parametrically by the equations given in $ x = \cos \theta -\ cos 2\theta, y = \sin \theta -\ sin 2\theta $ without eliminating the parameter, Find $\large\frac{dy}{dx}$
cbse
class12
bookproblem
ch5
sec6
q5
p181
easy
sec-b
math
asked
Nov 19, 2012
by
thanvigandhi_1
1
answer
If $x$ and $y$ are connected parametrically by the equations given in $x = 4t, \: y = \large\frac{4}{t} $ without eliminating the parameter, Find $\large\frac{dy}{dx}$
cbse
class12
bookproblem
ch5
sec6
q4
p181
easy
sec-a
math
asked
Nov 19, 2012
by
thanvigandhi_1
1
answer
If $x$ and $y$ are connected parametrically by the equations given in $ x = \sin t, y = \cos 2t $ without eliminating the parameter, Find $\large\frac{dy}{dx}$
cbse
class12
bookproblem
ch5
sec6
q3
p181
easy
sec-b
math
asked
Nov 19, 2012
by
thanvigandhi_1
1
answer
If $x$ and $y$ are connected parametrically by the equations given in $ x = a \cos \theta, y = b \cos \theta $ without eliminating the parameter, Find $\frac{\large dy}{\large dx}$
cbse
class12
bookproblem
ch5
sec6
q2
p181
easy
sec-a
math
asked
Nov 19, 2012
by
thanvigandhi_1
1
answer
If $x$ and $y$ are connected parametrically by the equations given in $ x = 2at^2, \: y = at^4 $ without eliminating the parameter, Find $\frac{\large dy}{\large dx}$
cbse
class12
bookproblem
ch5
sec6
q1
p181
easy
sec-a
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
If $u,\: v$ and $w$ are functions of $x$, then show that $\large\frac{d}{dx} $$( u.v.w) =\large \frac{du}{dx} $$v.w + u . \large\frac{dv}{dx} $$. w + u.v. \large\frac{dw}{dx} $ in two ways - first by repeated application of product rule, second by logarithmic differentiation.
cbse
class12
bookproblem
ch5
sec5
q18
p179
medium
sec-b
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Differentiate $ (x^2 - 5x + 8) (x^3 + 7x + 9 ) $ in three ways mentioned below:\begin{array}{1 1} (i)\;by\;using\;product\;rule & \;\\(ii)\;by\;expanding\;the\;product\;to\;obtain\;a\;single\;polynomial. & \;\\ (iii)\;by\;logarithmic\;differentiation. & \;\end{array} Do they all give the same answer?
cbse
class12
bookproblem
ch5
sec5
q17
p178
easy
sec-c
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Find the derivative of the function given by $f(x) =( 1 + x )( 1 + x^2) ( 1 + x^4) ( 1 + x^8)$ and hence find $ f' (1).$
cbse
class12
bookproblem
ch5
sec5
q16
p178
easy
sec-b
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Find $\large\frac{dy}{dx}$ of the function $xy = e^{\large(x-y)}$
cbse
class12
bookproblem
ch5
sec5
q15
p178
medium
sec-a
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Find $\large\frac{dy}{dx}$ of the function $(\cos x)^{\large y} = (\cos y)^{\large x}$
cbse
class12
bookproblem
ch5
sec5
q14
p178
sec-a
medium
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Find $\large\frac{dy}{dx}$ of the functions given in $ y^{\large x} = x^{\large y} $
cbse
class12
bookproblem
ch5
sec5
q13
p178
sec-a
easy
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Find $\large\frac{dy}{dx}$ of the functions given in $ x^{\large y }+ y^{\large x }= 1 $
cbse
class12
bookproblem
ch5
sec5
q12
p178
sec-c
difficult
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Differentiate the functions given in w.r.t. $x : $ $ (x \cos x )^{\large x} + (x\sin x)^{\Large\frac{1}{x}} $
cbse
class12
bookproblem
ch5
sec5
q11
p178
sec-c
difficult
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Differentiate the functions given in w.r.t. $x : $ $ x^{\large x \cos x} + \large\frac{x^2 + 1}{x^2 - 1} $
cbse
class12
bookproblem
ch5
sec5
q10
p178
sec-c
medium
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Differentiate the functions given in w.r.t. $x : $ $ x ^{\large\sin x} + (\sin x)^{\large\cos x} $
cbse
class12
bookproblem
ch5
sec5
q9
p178
difficult
sec-c
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Differentiate the functions given in w.r.t. $x$ : $ (\sin x )^{\large x} + \sin^{-1} \sqrt x $
cbse
class12
bookproblem
ch5
sec5
q8
p178
medium
sec-c
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Differentiate the functions given in w.r.t. $x : $ $y=(\log x)^{\large x}+x^{\large\log x}$
cbse
class12
bookproblem
ch5
sec5
q7
p178
sec-b
medium
modelpaper
2012
q12
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Differentiate the functions given in w.r.t. $x : $ $ (x + \large\frac{1}{x})^{\large x}$$ + x ^{\large (1 + \Large\frac{1}{x})} $
cbse
class12
bookproblem
ch5
sec5
q6
p178
medium
sec-c
math
asked
Nov 17, 2012
by
thanvigandhi_1
1
answer
Let \(f : X \to Y\) be an invertible function. Show that the inverse of $f^{-1}$ is $f$, i.e., $(f^{-1})^{-1} = f$.
cbse
class12
bookproblem
ch1
sec3
q12
p19
easy
sec-a
math
asked
Nov 16, 2012
by
vaishali.a
1
answer
Differentiate the functions given in w.r.t. $x : $ $ (x + 3)^2 \: . \: (x + 4)^3 \: . \: (x + 5)^4 $
cbse
class12
bookproblem
ch5
sec5
q5
p178
easy
sec-b
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Differentiate the functions given in w.r.t. $x : $ $ x^{\large x} - 2^{\large sin \: x} $
cbse
class12
bookproblem
ch5
sec5
q4
p178
easy
sec-b
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Differentiate the functions given in w.r.t. $x : $ $ ( \log \; x )^{\large cos \: x} $
cbse
class12
bookproblem
ch5
sec5
q3
p178
easy
sec-a
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Differentiate the functions given in w.r.t. $x :$ $ \sqrt {\large\frac{(x-1)(x-2)}{(x-3)(x-4)(x-5)}} $
cbse
class12
bookproblem
ch5
sec5
q2
p178
easy
sec-b
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Differentiate the functions given in w.r.t. $x : $ $ \cos \: x \: . \cos \: 2x \:. \cos \: 3x $
cbse
class12
bookproblem
ch5
sec5
q1
p178
sec-b
easy
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
If a matrix has 24 elements, what are the possible orders it can have? What if it has 13 elements?
cbse
class12
bookproblem
sec1
q2
math
sec-a
asked
Nov 16, 2012
by
mahuya_bh
0
answers
Differentiate the following w.r.t. $ x: $ $ cos \: ( log\: x + e^x ), x > 0 $
cbse
class12
bookproblem
ch5
sec4
q10
p174
easy
sec-a
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Differentiate the following w.r.t. $x: \large \frac {\cos x}{\log x}$,$\; x > 0 $
cbse
class12
bookproblem
ch5
sec4
q9
p174
easy
sec-a
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Differentiate the following w.r.t. $x :$$ log ( log \: x ), x > 1 $
cbse
class12
bookproblem
ch5
sec4
q8
p174
easy
sec-a
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Differentiate the following w.r.t. $x : \sqrt {e^\sqrt x}, x > 0 $
cbse
class12
bookproblem
ch5
sec4
q7
p174
sec-a
easy
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Differentiate the following w.r.t. $x : e^x + e^{x^2} + \: ... + e^{x^5} $
cbse
class12
bookproblem
ch5
sec4
q6
p174
sec-a
easy
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Differentiate the following w.r.t. $x : \log\;( cos \: e^x ) $
cbse
class12
bookproblem
ch5
sec4
q5
p174
sec-a
easy
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Differentiate the following w.r.t. $x : sin\;( tan^{-1} e^{-x}) $
cbse
class12
bookproblem
ch5
sec4
q4
p174
sec-a
easy
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
The volume of a cube is increasing at the rate of $ 8\;cm^ 3/s$ . How fast is the volume of a cube is increasing at the rate of $8\;cm^ 3 /s$ . How fast is the surface area increasing when the length of an edge is $12 cm$?
cbse
class12
bookproblem
ch6
sec1
q2
p197
sec-a
easy
math
asked
Nov 16, 2012
by
kasturi.c
1
answer
Find the rate of change of the area of a circle with respect to its radius r when $(a)\; r = 3 cm$
cbse
class12
bookproblem
ch6
sec1
q1
q1-a
p197
sec-a
easy
math
asked
Nov 16, 2012
by
kasturi.c
1
answer
Differentiate the following w.r.t. $x : e^{x^{3} } $
cbse
class12
bookproblem
ch5
sec4
q3
p174
sec-a
easy
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Differentiate the following w.r.t. $x : e^{sin^{-1} x} $
cbse
class12
bookproblem
ch5
sec4
q2
p174
sec-a
easy
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Differentiate the following w.r.t. $x : \large \frac{e^x}{sin\;x}$
cbse
class12
bookproblem
ch5
sec4
q1
p174
sec-a
easy
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Find $\large \frac {dy}{dx} $ in the following: $ y = sec^{-1} \left(\large\frac{1}{2x^2 - 1}\right), 0 < x < \; { \frac{1}{\sqrt2} } \\ $
cbse
class12
bookproblem
ch5
sec3
q15
p169
exercise5-3
easy
sec-a
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
The corner points of the feasible region determined by the following system of linear inequalities: 2x + y ≤ 10, x + 3y ≤ 15, x, y ≥ 0 are (0, 0), (5, 0), (3, 4) and (0, 5). Let Z = px + qy, where p, q > 0. The condition on p and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is (A) p = q (B) p = 2q (C) p = 3q (D) q = 3p?
cbse
class12
bookproblem
ch12
sec2
q11
p520
sec-a
easy
math
asked
Nov 16, 2012
by
fingeazy
1
answer
There are two types of fertilisers \(F_{1} \) and \(F_{2} \). \(F_{1} \) consists of 10% nitrogen and 6% phosphoric acid and \(F_{2} \) consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions, a farmer finds that she needs atleast 14 kg of nitrogen and 14 kg of phosphoric acid for her crop. If \(F_{1} \) costs Rs 6/kg and \(F_{2} \) costs Rs 5/kg, determine how much of each type of fertiliser should be used so that nutrient requirements are met at a minimum cost. What is the minimum cost?
cbse
class12
bookproblem
ch12
sec2
q10
p520
sec-c
medium
math
asked
Nov 16, 2012
by
fingeazy
1
answer
Find $\large \frac {dy}{dx} $ in the following: $y = \sin^{-1} \big( 2x \sqrt{1 -x^2} \big), -\;{ \frac{1}{\sqrt2} }\;< x < \;{\frac{1}{\sqrt2} }\\ $
cbse
class12
bookproblem
ch5
sec3
q14
p169
exercise5-3
sec-a
easy
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
A diet is to contain at least 80 units of vitamin A and 100 units of minerals. Two foods $F_{1} $ and $F_{2} $ are available. Food $F_1$ costs Rs 4 per unit food and $F_2$ costs Rs 6 per unit. One unit of food $F_{1} $ contains 3 units of vitamin A and 4 units of minerals. One unit of food $F_{2} $ contains 6 units of vitamin A and 3 units of minerals. Formulate this as a linear programming problem. Find the minimum cost for diet that consists of mixture of these two foods and also meets the minimal nutritional requirements.
cbse
class12
bookproblem
ch12
sec2
q9
p520
sec-c
medium
math
asked
Nov 16, 2012
by
fingeazy
1
answer
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