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Recent questions tagged 2007
ASK
The solution of $\large\frac{dy}{dx}$$+1=e^{x+y}$ is
jeemain
eamcet
math
2007
q80
asked
Oct 28, 2013
by
meena.p
1
answer
The solution of $\large\frac{dy}{dx}=\frac{y^2}{xy-x^2}$ is
jeemain
eamcet
math
2007
q79
asked
Oct 28, 2013
by
meena.p
1
answer
The solution of $(x+y+1)\large\frac{dy}{dx}$$=1$
jeemain
eamcet
math
2007
q78
asked
Oct 28, 2013
by
meena.p
1
answer
The differential equation obtained by eliminating the arbitrary constant a and b from $xy=ae^x+be^{-x}$ is
jeemain
eamcet
math
2007
q77
asked
Oct 28, 2013
by
meena.p
1
answer
The area (in square unit ) of the region enclosed by the curves $ y=x^2$ and $y=x^3$ is
jeemain
eamcet
math
2007
q76
asked
Oct 28, 2013
by
meena.p
1
answer
$\int \limits_0^{2x} \sin ^6 x \cos ^5 x dx $ is equal to
jeemain
eamcet
math
2007
q75
asked
Oct 28, 2013
by
meena.p
1
answer
If $f(t) =\int \limits _{-t}^t \large\frac{e^{-|x|}}{2}$$dx$, then $\lim \limits_{t \to \infty} f(t) $ is equal to
jeemain
eamcet
math
2007
q74
asked
Oct 28, 2013
by
meena.p
1
answer
$\int \large \frac{\sin x+ 8 \cos x}{4 \sin x+6 \cos x}$$ dx$ is equal to
jeemain
eamcet
math
2007
q73
asked
Oct 28, 2013
by
meena.p
1
answer
$\int \tan^{-1} \bigg(\sqrt {\large\frac{1-x}{1+x}}\bigg)$$dx$ is equal to
jeemain
eamcet
math
2007
q72
asked
Oct 28, 2013
by
meena.p
1
answer
If $ \int \large\frac{e^x-1}{e^x+1}$$dx=f(x)+c$, then f(x) is equal to
jeemain
eamcet
math
2007
q71
asked
Oct 28, 2013
by
meena.p
0
answers
If $z= \log (\tan x +\tan y)$, then $(\sin 2x) \large\frac{\partial z}{\partial x}$$+(\sin 2y) \large\frac{\partial z}{\partial y}$ is equal to
jeemain
eamcet
math
2007
q70
asked
Oct 28, 2013
by
meena.p
1
answer
Observe the statement given below: Assertion (A): $f(x)=x e^{-x}$ has the maximum at $x=1$ Reason (R): $ f(1)=0$ and $f(1) <0$ which of following is correct ?
jeemain
eamcet
math
2007
q69
asked
Oct 28, 2013
by
meena.p
1
answer
The circumference of a circle is measured as 56 cm with an error 0.02 cm. The percentage error in its area is
jeemain
eamcet
math
2007
q68
asked
Oct 28, 2013
by
meena.p
1
answer
The condition $f(x)=x^3+px^2+qx+r(x \in R)$ to have no extreme value, is
jeemain
eamcet
math
2007
q67
asked
Oct 28, 2013
by
meena.p
1
answer
The lengths of tangent, subtangent, normal and subnormal for the curve $y=x^2+x-1$ at $(1,1)$ are A,B,C and D respectively then their increasing order is
jeemain
eamcet
math
2007
q66
asked
Oct 28, 2013
by
meena.p
1
answer
$x=\cos \theta,y= \sin 5 \theta =>(1-x^2)\large\frac{d^2y}{dx^2}$$ - x \large\frac{dy}{dx}$ is equal to
jeemain
eamcet
math
2007
q65
asked
Oct 28, 2013
by
meena.p
0
answers
$y= \log \bigg \{ \bigg (\large\frac{1+x}{1-x}\bigg )^{1/4}\bigg\}-\frac{1}{2}$$ \tan ^{-1}(x),$ then $\large\frac{dy}{dx}$ is equal to
jeemain
eamcet
math
2007
q64
asked
Oct 28, 2013
by
meena.p
1
answer
If $2x^2-3xy+y^2+x+2y-8=0$, then $\large\frac{dy}{dx}$ is equal to
jeemain
eamcet
math
2007
q63
asked
Oct 26, 2013
by
meena.p
1
answer
If $f(x)= \left\{ \begin{array}{1 1} \frac{\sin(1+[x])}{[x]}, & \quad for\;[x] \neq 0 \\ 0, & \quad for\;[x] =0 \end{array} \right. $ where $[x]$ denotes the greatest integer not exceeding x, then $\lim \limits _{x \to 0} f(x)$ is equal to
jeemain
eamcet
math
2007
q62
asked
Oct 26, 2013
by
meena.p
1
answer
If $f(x)= \left\{ \begin{array}{1 1} x-5, & \quad for\; x \leq 1 \\ 4x^2-9, & \quad for\;1 < x < 2 \\ 3x+4, &\quad for\; x \geq 2 \end{array} \right.$ then $f'(2^{+})$ is equal to
jeemain
eamcet
math
2007
q61
asked
Oct 26, 2013
by
meena.p
1
answer
$\lim \limits_{x \to 2} \large\frac{e^x-e^{\sin x}}{2(x- \sin x)}$
jeemain
eamcet
math
2007
q60
asked
Oct 26, 2013
by
meena.p
1
answer
The area (in square unit) of the triangle formed by the points with polar coordinates $(1,0), \bigg(2,\large\frac{ \pi}{3}\bigg)$ and $\bigg(3,\large\frac{2 \pi}{3}\bigg)$ is
jeemain
eamcet
math
2007
q59
asked
Oct 26, 2013
by
meena.p
1
answer
If the line $lx+my=1$ is normal to the hyperbola
jeemain
eamcet
math
2007
q58
asked
Oct 26, 2013
by
meena.p
1
answer
The value of k , if (1,2),(k,1) are conjugate points with respect to the ellipse $2x^2+3y^2=6$ is
jeemain
eamcet
math
2007
q57
asked
Oct 25, 2013
by
meena.p
1
answer
For the parabola $y^2+6y-2x+5=0$(I) The vertex is (-2,-3) (II) The directrix is y+3=0
jeemain
eamcet
math
2007
q56
asked
Oct 25, 2013
by
meena.p
1
answer
The condition for the coaxial system $x^2+y^2+2 \lambda x +c=0,$ where $\lambda$ is a parameter and c is a constant to have distinct limiting points, is
jeemain
eamcet
math
2007
q55
asked
Oct 25, 2013
by
meena.p
1
answer
The inverse point of (1,2) with respect to the circle $x^2+y^2-4x-6y+9=0$ is
jeemain
eamcet
math
2007
q54
asked
Oct 25, 2013
by
meena.p
1
answer
The equation of the circle of radius 3 that lies in the fourth quadrant and touching the lines x=0 and y=0 is
jeemain
eamcet
math
2007
q53
asked
Oct 25, 2013
by
meena.p
1
answer
The cosine of the angle A of the triangle with vertices $A(1,-1,2), B(6,11,2),C(1,2,6)$ is
jeemain
eamcet
math
2007
q52
asked
Oct 25, 2013
by
meena.p
1
answer
The ratio in which yz - plane divides the line segment joining $(-3,4,-2)$ and $(2,1,3)$ is
jeemain
eamcet
math
2007
q51
asked
Oct 25, 2013
by
meena.p
1
answer
If the lines $x^2+2xy-35y^2-4x+44y-12=0$ and $5x+\lambda y-8=0$ are concurrent, then the value of $\lambda$ is
jeemain
eamcet
math
2007
q50
asked
Oct 25, 2013
by
meena.p
1
answer
The angle between the pair of straight lines formed by joining the points of intersection of $x^2+y^2=4$ and $y=3x+c$ to the origin is a right angle. Then $c^2$ is equal to
jeemain
eamcet
math
2007
q49
asked
Oct 25, 2013
by
meena.p
1
answer
In the triangle with vertices at $A(6,3),B(-6,3)$ and $C(-6,-3)$ the median through A meets BC at P, the line AC meets the x-axis at Q,while R and S respectively denote the orthocenter and centroid of the triangle. Then the correct matching of the coordinates of points in List -I to List - II is
jeemain
eamcet
math
2007
q48
asked
Oct 25, 2013
by
meena.p
1
answer
If $A(2,-1)$ and $B(6,5)$ are two points the ratio in which the foot of the perpendicular from (4,1) to AB divides it, is
jeemain
eamcet
math
2007
q47
asked
Oct 25, 2013
by
meena.p
1
answer
The angle between the line joining the points $(1,-2),(3,2)$ and the line $x+2y-7=0$ is
jeemain
eamcet
math
2007
q46
asked
Oct 25, 2013
by
meena.p
1
answer
In order to eliminate the first degree terms from the equation $2x^2+4xy+5y^2-4x-22y+7=0,$ the point to which origin is to be shifted, is
jeemain
eamcet
math
2007
q45
asked
Oct 25, 2013
by
meena.p
1
answer
The probability distribution of a random variable X is given by
jeemain
eamcet
math
2007
q44
asked
Oct 25, 2013
by
meena.p
1
answer
The mean and standard deviation of a binomial variate x are 4 and $\sqrt 3$ respectively. Then $P( X \geq 1)$ is equal to
jeemain
eamcet
math
2007
q43
asked
Oct 25, 2013
by
meena.p
1
answer
A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour, is
jeemain
eamcet
math
2007
q42
asked
Oct 25, 2013
by
meena.p
1
answer
If A and B are mutually exclusive events with $P(B) \neq 1,$ then $P(A | \bar {B})$ is equal to (Here $\bar B$ is the complement of the event B)
jeemain
eamcet
math
2007
q41
asked
Oct 25, 2013
by
meena.p
1
answer
Four numbers are chosen at random from {1,2,3............,40}. The probability that they are not consecutive, is
jeemain
eamcet
math
2007
q40
asked
Oct 25, 2013
by
meena.p
1
answer
Let $\overrightarrow {a}=a_1\hat i+a_2 \hat j+a_3 \hat k$ Assertion (A): The identify $|\overrightarrow a \times \hat i |^2+|\overrightarrow a \times \hat j|^2+|\overrightarrow a \times \hat k| ^2=2 | \overrightarrow a |^2$ holds for $\overrightarrow {a}$. Reason (R): $\overrightarrow {a} \times \hat i =a_3 \hat j- a_2 \hat k, \overrightarrow a \times \hat j= a_1 \hat k- a_3 \hat i, \overrightarrow a \times \hat k=a_2 \hat i- a_1 \hat j$ Which of the following is correct ?
jeemain
eamcet
math
2007
q39
asked
Oct 25, 2013
by
meena.p
1
answer
The volume (in cubic units) of the tetrahedron with edges $\hat i+\hat j+\hat k, \hat i - \hat j+\hat k$ and $\hat i+2 \hat j-\hat k$ is
jeemain
eamcet
math
2007
q38
asked
Oct 25, 2013
by
meena.p
1
answer
If $\overrightarrow {a}=\hat i+\hat j-\hat k$ and $\overrightarrow{b} =+ \lambda \hat i- 3\hat j+\hat k$ and the orthogonal projection of $\overrightarrow b$ on $\overrightarrow a $ is $\large\frac{4}{3}$$ (\hat i-\hat j-\hat k)$, then $\lambda$ is equal to
jeemain
eamcet
math
2007
q37
asked
Oct 25, 2013
by
meena.p
1
answer
The ratio in which $\hat i+2 \hat j+5 \hat k$ divides the join of $-2\hat i+3 \hat j+5 \hat k$ and $7 \hat i - \hat k$ is
jeemain
eamcet
math
2007
q36
asked
Oct 25, 2013
by
meena.p
1
answer
If the points whose position vectors are $2 \hat i+\hat j+\hat k, 6 \hat i-\hat j+2 \hat k$ and $14\hat i-5 \hat j+p \hat k$ are collinear, then the value of p is
jeemain
eamcet
math
2007
q35
asked
Oct 25, 2013
by
meena.p
1
answer
The angle of elevation of an object from a point P on the level ground is $\alpha$. Moving d meters on the ground towards the object. the angle of elevation is found to be $\beta$. Then the height (in meters) of the object is
jeemain
eamcet
math
2007
q34
asked
Oct 25, 2013
by
meena.p
0
answers
In $\Delta ABC,$ with usual notation. Observe the two statements given below:(I) $rr_1r_2r_3=\Delta ^2$ (II) $r_1r_2+r_2r_3+r_3r_1=s^2$ Which of the following is correct ?
jeemain
eamcet
math
2007
q33
asked
Oct 25, 2013
by
meena.p
1
answer
In $\Delta ABC, (a+b+c) \bigg(\tan \large\frac{A}{2}$$+\tan \large\frac{B}{2}\bigg)$ is equal to
jeemain
eamcet
math
2007
q32
asked
Oct 25, 2013
by
meena.p
1
answer
If two angles of $\Delta ABC$ are $45^{\circ}$ and $60^{\circ}$, then the ratio of the smallest and the greatest sides are
jeemain
eamcet
math
2007
q31
asked
Oct 25, 2013
by
meena.p
0
answers
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