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Limit, Continuity and Differentiability
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Class11
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Sets, Relations and Functions
(58)
Find the area of rhombus formed by the lines $x\pm y\pm 1=0$?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q35
difficult
answered
Jul 28
by
mandarkulkarni11
2
answers
Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals
jeemain
math
cbse
class12
probability
bionomial-distribution
difficult
q8
answered
Jul 9
by
phaniajit2005
2
answers
If $f(x)=(x+1)^{\cot x}$ is continuous at $x=0$ then $f(0)$ is
jeemain
math
clas12
continuity-and-differentiability
continuity
easy
q47
answered
May 30
by
shivanip1436
2
answers
Find $\cos 55^{\large\circ}+\cos 65^{\large \circ}+\cos 175^{\large\circ}$
jeemain
math
class11
ch3
trigonometric-functions
q57
angles
easy
answered
May 20
by
rohtashkaumarsharma140971
2
answers
In a GP, given that the first term is $ 312 ½ $ and the common ratio is $ 1/2 $ find the sum of the terms of the series to infinity.
jeemain
math
class11
unit7
sequences-and-series
medium
answered
May 14
by
nikunjjain285
1
answer
The total no. of terms in the expansion $(x+y)^{100}+(x-y)^{100} $ is ?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
easy
answered
Nov 19, 2016
by
devanshugarg200ce
2
answers
determine wheter even or odd : f(x+y)+f(x-y)=2f(x).f(y) ; where f(0) is not zero and x,y belongs to set of Real numbers
answered
May 20, 2016
by
asthajagia
1
answer
The value of c for which conclusion of Mean value theorem holds for the function $f(x)= \log _e^x$ on the interval $[1,3]$ is
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
If $\overrightarrow{a} \times \overrightarrow{b}=c, \overrightarrow{b} \times \overrightarrow{c}= \overrightarrow{a}$ and $\overrightarrow{c} \times \overrightarrow{a}= \overrightarrow{b}$ then $(\overrightarrow{a} . \overrightarrow{b} \times \overrightarrow{c}) + \overrightarrow{b} . (\overrightarrow{c} \times \overrightarrow{a})+ \overrightarrow{c}. (\overrightarrow{a} \times \overrightarrow{b})$ is equal to
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
The Cartesian equation of the plane passing through the line of intersection of the planes. $ \overrightarrow{r} .( 2 \hat i -3 \hat j+4 \hat k) =1$ and $ \overrightarrow{r} .( 2 \hat i - \hat j+ \hat k)+8 =0$
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
Consider the planes $3x-6y+2z+5=0$ and $4x-12y +3z=3$ . The plane $67x-16xy+4xz+44=0$ bisects the angle between the given planes which
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
The reflection of the point $P(1,0,0)$ in the $ \large\frac{x-1}{2} =\frac{y+1}{-3} =\frac{z+10}{8}$ is
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
Equation of a plane binding the cycle between the planes $2x-y+2z+3=0$ and $ 3x-2y+6z+8$ is
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
Let $P,Q,R $ and $S$ be the points on the plane with position vectors $-2 \hat i -\hat j ,4 \hat i, 3 \hat i +3 \hat j$ and $3 \hat i +2 \hat j$ respectively . The quadrilateral $PQRS$ must be a
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
Equation of the plane containing the straight line $ \large\frac{x}{2}= \frac{y}{3} =\frac{z}{4}$ and perpendicular to the plane containing the straight lines $ \large\frac{x}{3}=\frac{y}{4} =\frac{z}{2}$ and $\large\frac{x}{4}=\frac{y}{2} =\frac{z}{3}$ is
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
The equation of the plane passing through the line of intersection of the planes $x+2y+3z=2$ and $x-y+z=3$ and at a distance $\large\frac{2}{\sqrt 3}$ from the point $(3,1,-1)$ is
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
The foci of an ellipse are $(0, \pm 1)$ and minor axis is of unit length . The equation of the ellipse
jeemain
math
sets-relations-and-functions
answered
Feb 1, 2016
by
meena.p
1
answer
If $z= \sqrt {5+12i }+\sqrt{12i-5}$ then the principal of org (z) can be
jeemain
math
sets-relations-and-functions
answered
Feb 1, 2016
by
meena.p
1
answer
In the expansion of $(a-b)^2 , n \leq 5, $ the sum 5th and 6th term is zero, then $\large\frac{a}{b}$ is equal to
jeemain
math
sets-relations-and-functions
answered
Feb 1, 2016
by
meena.p
1
answer
If $ \sin ^{-1} \bigg( \large\frac{x}{5}\bigg) $$ + cosec^{-1} \bigg( \large\frac{5}{4}\bigg)=\frac{\pi}{2}$, then x is
jeemain
math
sets-relations-and-functions
answered
Feb 1, 2016
by
meena.p
1
answer
Let $f(x)=\{(3 \sin^2(10x +11)-7)^2\}$ for $x \in R$ . Then the maximum value of the function f is
jeemain
math
sets-relations-and-functions
answered
Feb 1, 2016
by
meena.p
1
answer
If $ y= \sqrt{e^{\sqrt x}}$ , then $\large\frac{dy}{dx}$ is
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
Two vertices of an equilateral triangle are $(-1,0) (1,0)$ qand the third vertex lies above the x -axis . Then the equation of the circum circle is
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
The minimum area of triangle formed by the tangent to the ellipse $\large\frac{x^2}{a^2} +\frac{y^2}{b^2} $$=1$ and coordinating axes is :
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
If $ \sin x + \cos y = \large \frac{1}{3}$ and $\cos x + \sin y = \frac{1}{2}$, then $\tan \frac{(x-y)}{2}$
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
The number of distinct roots of $\begin{bmatrix} \sin x & \cos x & \cos x \\ \cos x & \sin x & \cos x \\ \cos x & cos x & \sin x \end{bmatrix}$ is a
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
The inverse of the following statement If $x=3,$ then $x^2=9$ is
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
The number of five digit number formed with out repetition , divisible by 6 with digits $0,1,2,3,4,5$ is
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
Equation of a line passing through $(-1,2,-3)$ and perpendicular to the place $2x+3y+z+5=0$ is
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
The side of a parallelogram are $2 \hat i +4 \hat j -5 \hat k$ and $ \hat i +2 \hat j +3 \hat k$, then the unit vector parallel to one of the diagonals is :
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
Find the length of the normals drawn from the point on the axis of the parabola $y^2 =8x $ whose distance from the focus is 8 :
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
The solution of the differential equation $ \large\frac{dy}{dx} =\frac{xy}{x^2+y^2}$ is
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
If $\cos \alpha+\cos \beta + \cos \gamma=0= \sin \alpha +\sin \beta + \sin \gamma$ then $ \sin^2 \alpha +\sin ^2 \beta +\sin ^2 \gamma$
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
If $A=\begin{bmatrix} i & -i \\ -i & i \end{bmatrix}$ and $B=\begin{bmatrix} 1 & -1 \\ -1 & 1 \end{bmatrix}$ then $A^8$ equals
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
If $a,b,c$ be the sides of a triangle ABC and if roots of the equation . $a(b-c)x^2+b(c-a)x+c(a-b)=0$ are equal , then $\sin ^2 \bigg(\large\frac{A}{2} \bigg) ,$$ \sin ^2 \bigg(\large\frac{B}{c} \bigg),$$ \sin ^2 \bigg(\large\frac{c}{2} \bigg) $are in
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
$\int\large\frac{dx}{(1+x^2) \sqrt {p^2+q^2(\tan^{-1}x)^2}}$=
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
If $cos ^{-1} x > \sin ^{-1} x$, then x lies in the interval
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
The number of equivalence relation on the set $\{1,2,3\}$ containg $(1,2)\;and\;(2,1)$ is
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
Solve : $\lim \limits_{x \to \infty } [ \sqrt {x+\sqrt{x+\sqrt x}}-\sqrt {x} ]=$
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
An A.P consists of 23 terms.If the sum of the 3 terms in the middle is 141 and the sum of last 3 terms is 261, then the first term is :
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
The variance of first 20 natural number is :
jeemain
math
sets-relations-and-functions
answered
Jan 22, 2016
by
meena.p
1
answer
The value of $ \int \limits_{0}^{\pi} \large\frac{x \sin ^{2n}x }{\sin ^{2n} x+ \cos ^{2n} x}$=
jeemain
math
sets-relations-and-functions
answered
Jan 22, 2016
by
meena.p
1
answer
The solution of $\large\frac{6x}{4x-1} < \frac{1}{2}$ is
jeemain
math
sets-relations-and-functions
answered
Jan 22, 2016
by
meena.p
1
answer
$\lim_{x \to \infty } \bigg(\large\frac{3x-4}{3x+2}\bigg) ^{\large\frac{x+1}{3}}=$
jeemain
math
sets-relations-and-functions
answered
Jan 22, 2016
by
meena.p
1
answer
The distance of the center of ellipse $x^2+2y^2-2=0$ to these tangent of the ellipse which are equally inclined from both the axis , is
jeemain
math
sets-relations-and-functions
answered
Jan 22, 2016
by
meena.p
1
answer
There are three bags each containing 5 white balls and 2 black balls. Also there are 2 bags each containing 1 white ball and 4 black balls. A black ball is drawn at random , the chance that the ball is from the first bag is :
jeemain
math
sets-relations-and-functions
answered
Jan 22, 2016
by
meena.p
1
answer
help me to find the solution of this question
answered
Oct 9, 2015
by
vijayalakshmi.r
1
answer
The sum of 0.2, 0.22, 0.222, 0.2222.....till n terms is given by
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q93
answered
Sep 16, 2015
by
illusionist.nectar
2
answers
consider the equation sec θ+cosec θ=a, θ ∈(0,2π)-{ π/2, π,3π/2}
jeemain
math
class12
olympiad
cbse
trigonometry
asked
Jul 4, 2015
by
excellentdeals18
0
answers
is there any function which is continuous throughout but not differential at integral points
answered
Jun 29, 2015
by
pady_1
1
answer
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