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Recent questions and answers in Mathematics
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Mathematics
The locus of the point of intersection of the perpendicular tangents to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ is ................
jeemain
eamcet
math
1991
fitb
q22
answered
Jan 13
by
asinghbbk
1
answer
If $f(x) =2x^4-13 x^2+ax+b$ is divisible by $x^2-3x+2$, then $(a,b) = $
jeemain
eamcet
math
2009
q14
answered
Dec 30, 2017
by
pawangidugu
2
answers
A three digit number n is such that the last two digits of it are equal and differ from the first. Then number of such n's is :
jeemain
eamcet
chemistry
2005
q7
answered
May 3, 2017
by
misraaayush94
1
answer
The equation of the pair of lines passing through the origin whose sum and product of slopes are respectively the arithmetic mean geometric mean of 4 and 9 is
jeemain
eamcet
math
2013
q46
answered
Aug 27, 2015
by
_1
2
answers
. If f = â†’\ \ is defined by f x 2x 2 x for x ( ) = [ ] âˆ’ âˆˆ [ ] \. where [x] is the greatest integer not exceeding x, then the range of f is
asked
May 13, 2015
by
_1
0
answers
The extreme values of $4 \cos (x^2) \cos \bigg( \large\frac{\pi}{3}$$+x^2\bigg) - \cos \bigg(\large\frac{\pi}{3}$$-x^2\bigg)$ over R, are :
jeemain
eamcet
math
2005
q24
answered
Mar 4, 2014
by
meena.p
1
answer
If $( x \in R: [x -|x|\;]=5)$ is equal to :
jeemain
eamcet
math
2005
q1
answered
Mar 4, 2014
by
meena.p
1
answer
The solution of $\large\frac{dx}{dy}+\frac{x}{y}$$=x^2$ is :
jeemain
eamcet
math
2006
q80
answered
Feb 27, 2014
by
meena.p
1
answer
The solution of $(1+x^2) \large\frac{dy}{dx}$$+2xy-4x^2=0$ is :
jeemain
eamcet
math
2006
q79
answered
Feb 27, 2014
by
meena.p
1
answer
The solution of $(x^2+y^2)dx =2xy \;dy$ is :
jeemain
eamcet
math
2006
q78
answered
Feb 27, 2014
by
meena.p
1
answer
$\int _{-1} ^ 1 \large\frac{\cos h x }{1+e^{2x}}$$dx$ is equal to :
jeemain
eamcet
math
2006
q77
answered
Feb 27, 2014
by
meena.p
1
answer
$\int \limits_0^{\pi/2} \large\frac{dx}{1+ \tan^3 x}$ is equal to :
jeemain
eamcet
math
2006
q76
answered
Feb 27, 2014
by
meena.p
1
answer
Dividing the interval [0,6] into 6 equal parts and by using trapezoidal rule the value of $\int \limits_0^6 x^3 dx$ is approximately:
jeemain
eamcet
math
2006
q75
answered
Feb 27, 2014
by
meena.p
1
answer
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
by
meena.p
1
answer
If $x^2 y-x^3 \large\frac{dy}{dx}$$=y^4 \cos x$ then $x^3\;y$ is equal to :
jeemain
eamcet
math
2005
q78
answered
Feb 27, 2014
by
meena.p
1
answer
If $dx+dy=(x+y)(dx-dy)$ then $\log (x+y)$ is equal to:
jeemain
eamcet
math
2005
q77
answered
Feb 27, 2014
by
meena.p
1
answer
The area (in square units) bonded by the curves $y^2=4x$ and $x^2=4y$ in the plane is :
jeemain
eamcet
math
2005
q76
answered
Feb 27, 2014
by
meena.p
1
answer
$\int \limits_0^{\pi} \large\frac{\theta \sin \theta}{1+\cos ^2 \theta} $$ d \theta$ is equal to :
jeemain
eamcet
math
2005
q74
answered
Feb 27, 2014
by
meena.p
1
answer
If $\int \sin ^{-1} \bigg( \large\frac{2x}{1+x^2}\bigg) $$dx-=f(x)-\log (1+x^2)+c$ then $f(x) $ is equal to :
jeemain
eamcet
math
2005
q75
answered
Feb 27, 2014
by
meena.p
1
answer
$\int \limits_0^{\pi/2} \large\frac{200 \sin x+100 \cos x}{\sin x+\cos x}$$dx$ is equal to :
jeemain
eamcet
math
2005
q73
answered
Feb 27, 2014
by
meena.p
1
answer
$\int \large\frac{x^{49} \tan^{-1} (x^{50})}{(1+x^{100})}$$dx=k(\tan^{-1}(x^{50})^2+c$ then k is equal to :
jeemain
eamcet
math
2005
q72
answered
Feb 27, 2014
by
meena.p
1
answer
If $u= \sin^{-1} \bigg(\large\frac{x}{y}\bigg)$$+\tan^{-1} \bigg(\large\frac{y}{x}\bigg)$, then the value of $x \large\frac{\partial u}{\partial x}$$+y \large\frac{\partial u}{\partial y}$ is :
jeemain
eamcet
math
2005
q70
answered
Feb 27, 2014
by
meena.p
1
answer
If $\int \large\frac{\sin x}{\cos x(1+\cos x)dx}$$=f(x)+c$ then $f(x)$ is equal to :
jeemain
eamcet
math
2005
q71
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
by
meena.p
1
answer
Which of the following equations gives a circle?
jeemain
eamcet
math
2005
q59
answered
Feb 27, 2014
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
answered
Feb 27, 2014
by
meena.p
1
answer
The cartesian from of the polar equation $\theta=\tan^{-1} 2$ is :
jeemain
eamcet
math
2005
q58
answered
Feb 27, 2014
by
meena.p
1
answer
The line among the following which touches the parabola $y^2=4ax,$ is :
jeemain
eamcet
math
2005
q57
answered
Feb 27, 2014
by
meena.p
1
answer
The parabola with directrix $x+2y-1=0$ and focus (1,0) is :
jeemain
eamcet
math
2005
q56
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
by
meena.p
1
answer
The direction cosines of the line passing through $P(2,3,-1) $ and the orgin are :
jeemain
eamcet
math
2005
q51
answered
Feb 27, 2014
by
meena.p
1
answer
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
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
answered
Feb 27, 2014
by
meena.p
1
answer
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