Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
mobile
exams
ask
sample papers
tutors
pricing
login
X
Recent questions tagged 2005
ASK
If $\large\frac{dy}{dx}=\frac{y+ x \tan \Large\frac{y}{x}}{x}$ then $\sin \large\frac{y}{x}$ is equal to :
jeemain
eamcet
math
2005
q80
asked
Nov 13, 2013
by
meena.p
1
answer
Observe the following statements:I. If $dy+2xy\;dx=2e^{-x^{2}} dx $ then $ye^{x^{2}}=2x+c$ II. If $ye^{-x^{2}}-2x=c$ then $dx=(2e^{-x^{2}}-2xy)dy$ Which of the following is a correct statement ?
jeemain
eamcet
math
2005
q79
asked
Nov 13, 2013
by
meena.p
1
answer
If $x^2 y-x^3 \large\frac{dy}{dx}$$=y^4 \cos x$ then $x^3\;y$ is equal to :
jeemain
eamcet
math
2005
q78
asked
Nov 13, 2013
by
meena.p
1
answer
If $dx+dy=(x+y)(dx-dy)$ then $\log (x+y)$ is equal to:
jeemain
eamcet
math
2005
q77
asked
Nov 13, 2013
by
meena.p
1
answer
The area (in square units) bonded by the curves $y^2=4x$ and $x^2=4y$ in the plane is :
jeemain
eamcet
math
2005
q76
asked
Nov 13, 2013
by
meena.p
1
answer
If $\int \sin ^{-1} \bigg( \large\frac{2x}{1+x^2}\bigg) $$dx-=f(x)-\log (1+x^2)+c$ then $f(x) $ is equal to :
jeemain
eamcet
math
2005
q75
asked
Nov 13, 2013
by
meena.p
1
answer
$\int \limits_0^{\pi} \large\frac{\theta \sin \theta}{1+\cos ^2 \theta} $$ d \theta$ is equal to :
jeemain
eamcet
math
2005
q74
asked
Nov 13, 2013
by
meena.p
1
answer
$\int \limits_0^{\pi/2} \large\frac{200 \sin x+100 \cos x}{\sin x+\cos x}$$dx$ is equal to :
jeemain
eamcet
math
2005
q73
asked
Nov 13, 2013
by
meena.p
1
answer
$\int \large\frac{x^{49} \tan^{-1} (x^{50})}{(1+x^{100})}$$dx=k(\tan^{-1}(x^{50})^2+c$ then k is equal to :
jeemain
eamcet
math
2005
q72
asked
Nov 13, 2013
by
meena.p
1
answer
If $\int \large\frac{\sin x}{\cos x(1+\cos x)dx}$$=f(x)+c$ then $f(x)$ is equal to :
jeemain
eamcet
math
2005
q71
asked
Nov 13, 2013
by
meena.p
1
answer
If $u= \sin^{-1} \bigg(\large\frac{x}{y}\bigg)$$+\tan^{-1} \bigg(\large\frac{y}{x}\bigg)$, then the value of $x \large\frac{\partial u}{\partial x}$$+y \large\frac{\partial u}{\partial y}$ is :
jeemain
eamcet
math
2005
q70
asked
Nov 13, 2013
by
meena.p
1
answer
Observe the following statements :A : $f(x)=2x^3-9x^2+12x-3$ is increasing outside the interval $(1,2)$ R : f'(x) < 0 for $x \in (1,2)$ Then which of the following is true ?
jeemain
eamcet
math
2005
q69
asked
Nov 13, 2013
by
meena.p
1
answer
The radius of a circular plate is increasing at the rate of $0.01\;cm/sec$ when the radius is $12\; cm$. Then the rate at which the area increases, is :
jeemain
eamcet
math
2005
q68
asked
Nov 13, 2013
by
meena.p
1
answer
A stone thrown upwards, has its equation of motion $s=490t-4.9t^2$. Then the maximum height reached by it , is:
jeemain
eamcet
math
2005
q67
asked
Nov 13, 2013
by
meena.p
1
answer
If $x \sqrt {1+y}+y \sqrt {1+x}=0$ then $\large\frac{dy}{dx}$ is equal to :
jeemain
eamcet
math
2005
q66
asked
Nov 13, 2013
by
meena.p
1
answer
If $f(x) =10 \cos x +(13+2x) \sin x$ then $f''(x)+f(x)$ is equal to :
jeemain
eamcet
math
2005
q65
asked
Nov 13, 2013
by
meena.p
1
answer
Observe the following statements: $I. f(x) =ax^{41}+bx^{-40}=> \large\frac{f''(x)}{f(x)}$$=1640\;x^{-2} \quad II. \large\frac{d}{dx} $$\tan ^{-1} \bigg(\large\frac{2x}{1-x^2}\bigg)=\frac{1}{1+x^2}$Which of the following is correct ?
jeemain
eamcet
math
2005
q64
asked
Nov 13, 2013
by
meena.p
1
answer
If $R \to R$ is an even function which is twice differentiable on R and $f''(\pi)=1,$ then $f''(-\pi)$ is equal to :
jeemain
eamcet
math
2005
q63
asked
Nov 13, 2013
by
meena.p
1
answer
If $f: R \to R $ is defined by $f(x)= \left\{ \begin{array}{1 1} \large\frac{x+2}{x^2-3x+2} & \quad if & \quad x\in R -[-1,-2] \\ -1 & \quad if & \quad x=-2 \\ 0 & \quad if & \quad x=-1 \end{array} \right. $ then $f$ is continuous on the set :
jeemain
eamcet
math
2005
q62
asked
Nov 13, 2013
by
meena.p
1
answer
If $f: R \to R $ is defined by $f(x)= \left\{ \begin{array}{1 1} \large\frac{x-2}{x^2-3x+2} & \quad if & \quad x\in R -[1,2] \\ 2 & \quad if & \quad x=2 \\ 1 & \quad if & \quad x=2 \end{array} \right. $ then $\lim \limits_{x \to 2} \large\frac{f(x)-f(2)}{x-2}=$
jeemain
eamcet
math
2005
q61
asked
Nov 13, 2013
by
meena.p
1
answer
$\lim \limits_{x \to 0} x^2 \sin \large\frac{\pi}{x}$ is equal to :
jeemain
eamcet
math
2005
q60
asked
Nov 12, 2013
by
meena.p
1
answer
Which of the following equations gives a circle?
jeemain
eamcet
math
2005
q59
asked
Nov 12, 2013
by
meena.p
1
answer
The cartesian from of the polar equation $\theta=\tan^{-1} 2$ is :
jeemain
eamcet
math
2005
q58
asked
Nov 12, 2013
by
meena.p
1
answer
The line among the following which touches the parabola $y^2=4ax,$ is :
jeemain
eamcet
math
2005
q57
asked
Nov 12, 2013
by
meena.p
1
answer
The parabola with directrix $x+2y-1=0$ and focus (1,0) is :
jeemain
eamcet
math
2005
q56
asked
Nov 12, 2013
by
meena.p
1
answer
If $y=3x$ is a tangent to a circle with center $(1,1),$then the other tangent drawn through $(0,0)$ to the circle is:
jeemain
eamcet
math
2005
q55
asked
Nov 12, 2013
by
meena.p
1
answer
If $x-y+1=0$ meets the circle $x^2+y^2+y-1=0$ at A and B , then the equation of the circle with AB as diameter is :
jeemain
eamcet
math
2005
q54
asked
Nov 12, 2013
by
meena.p
1
answer
The equation of the circle whose diameter is the common chord of the circles $x^2+y^2+2x+3y+2=0$ and $x^2+y^2+2x-3y-4=0$ is :
jeemain
eamcet
math
2005
q53
asked
Nov 12, 2013
by
meena.p
1
answer
The point collinear with $(1,-2,-3)$ and $(2,0,0)$ among the following is :
jeemain
eamcet
math
2005
q52
asked
Nov 12, 2013
by
meena.p
0
answers
The direction cosines of the line passing through $P(2,3,-1) $ and the orgin are :
jeemain
eamcet
math
2005
q51
asked
Nov 12, 2013
by
meena.p
1
answer
The product of the perpendicular distances from the origin on the pair of straight lines $12x^2+25xy+12y^2+10x+11y+z=0$ is :
jeemain
eamcet
math
2005
q50
asked
Nov 12, 2013
by
meena.p
0
answers
The area of the triangle formed by the pair of straight lines $(ax+by)^2-3(bx-ay)^2=0$ and $ax+by+c=0$, is :
jeemain
eamcet
math
2005
q49
asked
Nov 12, 2013
by
meena.p
1
answer
The equation of the straight line perpendicular to $5x-2y=7$ and passing through the point of intersection of the lines $2x+3y=1$ and $3x+4y=6$ is :
jeemain
eamcet
math
2005
q48
asked
Nov 12, 2013
by
meena.p
1
answer
If PM is the perpendicular from $P(2,3)$ onto the line $x+y=3, then the co-ordinates of M are :
jeemain
eamcet
math
2005
q47
asked
Nov 12, 2013
by
meena.p
1
answer
The area (in square units) of the triangle formed by the lines $x=0,y=0$ and $3x+4y=12,$ is :
jeemain
eamcet
math
2005
q46
asked
Nov 12, 2013
by
meena.p
1
answer
If a point P moves such that its distances from the point $A(1,1)$ and the line $x+y+z=0$ are equal, then locus of P is :
jeemain
eamcet
math
2005
q45
asked
Nov 12, 2013
by
meena.p
1
answer
For a binomial variate X with $n=6,$ if $P(X=2)=9\;P(X=4),$ then its variance is :
jeemain
eamcet
math
2005
q44
asked
Nov 12, 2013
by
meena.p
1
answer
If the range of a random variable X is $\{0,1,2,3,4.......\}$ with $P(X =k)= \large\frac{(k+1)a}{3^k}$ for $ k \leq 0,$ then a is equal to :
jeemain
eamcet
math
2005
q43
asked
Nov 12, 2013
by
meena.p
1
answer
Box A contains 2 black and 3 red balls, white Box contains 3 black and 4 red balls. Out of these two boxes one is selected at random ; and the probability of choosing Box A is double that of Box B. If a red ball is drawn from the selected box, then the probability that it has come from Box B, is :
jeemain
eamcet
math
2005
q42
asked
Nov 12, 2013
by
meena.p
1
answer
A number n is chosen at random from $S=\{1,2,3,.....,50\}$.Let $A= \bigg \{ n \in S:n +\large\frac{50}{n} $$ > 27 \bigg\}$$,B= (n \in S:n$ is a Prime) and $C=\{n \in S:n \;is\; a\; square \}$. Then correct order of their probabilities is :
jeemain
eamcet
math
2005
q41
asked
Nov 12, 2013
by
meena.p
1
answer
A coin and six faced die, both unbiassed, are thrown simultaneously. The probability of getting a head on the coin and an odd number on the die, is :
jeemain
eamcet
math
2005
q40
asked
Nov 12, 2013
by
meena.p
1
answer
Observe the following statements:A: Three vectors are coplanar if one of them is expressible as a linear combination of the other two. R: Any three coplanar vectors are linearly dependent . Then which of the following is true?
jeemain
eamcet
math
2005
q39
asked
Nov 12, 2013
by
meena.p
1
answer
Observe the following lists :
jeemain
eamcet
math
2005
q38
asked
Nov 12, 2013
by
meena.p
1
answer
I : Two non-zero , non-collinear vectors are linearly independent. II. Any three coplanar vectors are linearly dependent .Which of the above statements is /are true?
jeemain
eamcet
math
2005
q37
asked
Nov 12, 2013
by
meena.p
1
answer
If $\overrightarrow {a}$ and $\overrightarrow{b}$ are unit vectors, then the vector $(\overrightarrow a+\overrightarrow b) \times (\overrightarrow{a} \times \overrightarrow{b})$ is parallel to the vector:
jeemain
eamcet
math
2005
q36
asked
Nov 12, 2013
by
meena.p
0
answers
If the vector $\overrightarrow{a} =2 \hat i+3 \hat j+6 \hat k$ and $\overrightarrow {b}$ are collinear and $|\overrightarrow {b}|=21,$ then $\overrightarrow {b}$ is equal to :
jeemain
eamcet
math
2005
q35
asked
Nov 12, 2013
by
meena.p
1
answer
A tower, of x meters high, has a flagstaff at its top. The tower and the flagstaff subtend equal angles at a point distant y meters from the foot of the tower. Then the length of the flagstaff(in meters), is :
jeemain
eamcet
math
2005
q34
asked
Nov 12, 2013
by
meena.p
1
answer
Two sides of a triangle are given by the roots of the equation $x^2-5x+6=0$ and the angle between the sides is $\large\frac{\pi}{3}$. Then the perimeter of the triangle is :
jeemain
eamcet
math
2005
q33
asked
Nov 12, 2013
by
meena.p
1
answer
In $\Delta ABC, \sum (b+c) \tan \large\frac{A}{2}$$ \tan \bigg(\large\frac{B-C}{2}\bigg)$ is equal to :
jeemain
eamcet
math
2005
q32
asked
Nov 12, 2013
by
meena.p
1
answer
In a $\Delta ABC, a (\cos ^2 B+\cos^2 C)+ \cos A(c \cos C+b \cos B)$ is equal to :
jeemain
eamcet
math
2005
q31
asked
Nov 12, 2013
by
meena.p
1
answer
Page:
1
2
3
4
5
next »
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
...