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Recent questions in Mathematics
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JEEMAIN and NEET
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Mathematics
Mathematics
Limit, Continuity and Differentiability
Class11
Trigonometry
Class12
Sets, Relations and Functions
If $\omega$ is a complex root of unity, one root of the equation $\begin{vmatrix}x+1 &\omega&\omega^2\\\omega&x+\omega^2&1\\\omega^2&1&x+\omega\end{vmatrix}=0$ is
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
The ratio in which the line segment joining the points $(4,-6)$ and $(3,1)$ is divided by the parabola $y^2=4ax$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
$z=\large\frac{1}{1-\cos \theta+i\sin \theta}$.Re(z) is equal to
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
algebra-of-complex-numbers
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
Given $x=2+5i$, the value of $x^3-5x^2+33x-19$ is
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
Find the points of the conic $y=x^2+7x+2$ which is nearest to the line $3x-y-3=0$
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
If $\omega=\large\frac{z-\perp}{z+1}$$\quad (z\neq -\perp)$ and $\mid z\mid =\perp$ then $Re(\omega)$ equals
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
demoivres-theorem
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
Find the equation of the chord of the parabola $y^2=12x$ which is bisected at $(5,-7)$
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
$z$ and $\omega$ are two non zero complex numbers such that $\mid z\mid=\mid \omega\mid$ and $arg(z)+arg(\omega)=\pi$.Then $z$ equals
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
argand-plane-and-polar-representation
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
If $z\neq 0$ is a complex no having arg=$\large\frac{\pi}{4}$,then
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
demoivres-theorem
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
The radius of the circle passing through the foci of the ellipse $\large\frac{x^2}{16}+\frac{y^2}{9}$$=1$ and having its center at $(0,3)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
Let $a,b$ be real numbers between $0\; and\; 1$ such that $z_1=1+bi,z_2=a+i$ and $z_3=0$ forms an equilateral triangle then
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
The equation $2x^2+3y^2-8x-18y+35=k$ represents
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The complex numbers $\sin x+i\cos 2x$ and $\cos x-i\sin 2x$ are conjugate for
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
If complex numbers $z_1,z_2,z_3$ represents vertices of an equilateral triangle and $\mid z_1\mid=\mid z_2\mid=\mid z_3\mid$ then
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
The circle passing through $(1,-2)$ and touching the axis of x at $(3,0)$ also passes through the point.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
The length of the diameter of the circle which touches the x-axis at the point $(1,0)$ and passes through the point $(2,3)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The circle $x^2+y^2=4x+8y+5$ intersects the line $3x-4y=m$ at the two distinct points if
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
If a circle passes through the points $(a,b)$ and cuts the circle $x^2+y^2=4$ orthogonally, then the locus of its centre is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
The two circles $x^2+y^2=ax$ and $x^2+y^2=c^2\; (c > 0) $ touch each other if
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
Intercept on the line $y=x$ by the circle $x^2+y^2-2x=0$ is $AB$ equation of the circle on AB as a diameter is :
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
If the lines $2x+3y+1=0,\qquad 3x-y-4=0$ lie along diameter of a circle of circumference $10\pi$ then the equation of the circle is :
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The lines $2x-3y=5$and $3x-4y=7$ are diameters of a circle having area as $154$ sq.units. The equation of the circle is .
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
If the two circles $(x-1)^2+(y-3)^2=r^2$ and $x^2+y^2-8x+2y+8=0$ intersect in two distinct point then
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The centre of the circle passes through $(0,0)$ and $(1,0)$ and touching the circle $x^2+y^2=9$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the chord $y=mx+1$ of the circle $x^2+y^2=1$ substance on angle of measures $45^{\circ}$ at the major segment of the circle then value of m is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
The number of common tangent to the circle $x^2+y^2=4$ and $x^2+y^2-6x-8y=24$
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The circle passing through the point $(-1,0)$ and touching the y-axis at $(0,2)$ also passes through the point .
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
The center of circle inscribed in square formed by the lines $x^2-8x+12=0$ and $y^2-14\;y+45=0$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the tangent at the point P on the circle $x^2+y^2+6x=2$ meets a straight line $5x-2y+6=0$ at a point Q on the y-axis , then the length of $PQ$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
Find the point of intersection of the line $4x-3y-10=b$ and circle $x^2+y^2-2x+4y-20=0$
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
There are 10 points in a plane out of these 6 are collinear. If N is the number of triangle formed by joining these points. Then
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The line $p(p^2+1)x-y+q=0$ and $ (p^2+1)^2x +(p^2+1)y+2q=0$ are perpendicular to a common line for
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
The shortest distance between the line $y-x=1$ and the curve $x=y^2$ is
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The perpendicular bisector of the line segment joining $P(1,4)$ and $Q(K,3)$ has y-intercept $-4$, Then a possible value of $k$ is
jeemain
math
class11
coordinate-geometry-straight-lines
slope-of-a-line
ch10
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
A straight line through the point $A(3,4)$ is such that its intercept between the axis is bisected at A. Its equation is
jeemain
math
class11
coordinate-geometry-straight-lines
slope-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If one of the lines given by $6x^2-xy+4cy^2=0$ is $3x+4y=0$ then c equals
jeemain
math
class11
coordinate-geometry-straight-lines
equations-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the sum of the slopes of the lines given by $x^2-2cxy-7y^2=0$ is four times their product c has the value.
jeemain
math
class11
coordinate-geometry-straight-lines
slope-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
Let $A(2,3)$ and $B(-2,3)$ be vertices of a triangle ABC. If the centriod of this triangle moves on the line $2x+3y=1$ then the locus of the vertex C is the line .
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
Locus of centriod of the triangle whose vertices are $(a \cos t, a \sin t),(b \sin t,-b \cos t)$ and $(1,0)$ where t is a parameter is
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the pair of straight lines $x^2-2pxy-y^2=0$ and $x^2-2qxy-y^2=0$ be such that each pair bisects the angle between the other pair then,
jeemain
math
class11
coordinate-geometry-straight-lines
equations-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The pair of lines represented by $3ax^2+5xy+(a^2-2)y^2=0$ are perpendicular to each other for
jeemain
math
class11
coordinate-geometry-straight-lines
equations-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the pair of lines $ax^2+2hxy +by^2+2gx+ 2fy+c=0$ intersect on the y-axis then
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
A triangle with vertices $(4,0),(-1,-1),(3,5)$ is
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
If a,b and c are in A.P thin the straight line $ax+by+c=0$ will always pass through line $ax+by+c=0$ will always pass through a fixed point whose coordinates are
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
Given the points $A(0,4)$ and $B(0,-4)$ the equation of the locus of the point $P(x,y)$ such that $|AP-BP|=6$ is
jeemain
math
class11
coordinate-geometry-straight-lines
equations-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The set of lines $ax+by+c=0$ where $3a+2b+4c=0$ is concurrent at the point.
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The area enclosed within the curve $|x|+|y|=1$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If $f_k(x) = \large\frac{1}{k}$$(\sin^k x + \cos^k x)$, where $x\in R$ and $k \geq 1$. The $f_4(x) - f_6(x)$ equals
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
jeemain-2014
q44
medium
asked
Apr 6, 2014
by
balaji.thirumalai
1
answer
If $\alpha, \beta \neq 0$, and $f(n) = \alpha^n+\beta^n$ and $\begin{vmatrix} 3 & 1+f(1) & 1+f(2)\\ 1+f(1)& 1+f(2) &1+f(3) \\ 1+f(2)&1+f(3) & 1+f(4) \end{vmatrix}$$=K(1-\alpha)^2\;(1-\beta)^2\;(\alpha-\beta)^2$, then $K$ is equal to
jeemain
math
matrices-and-determinants
jeemain-2014
q43
asked
Apr 6, 2014
by
balaji.thirumalai
0
answers
If $z$ is a complex number such that $\left|\; z \;\right| \geq 2$ then the minimum value of $\large\left|\normalsize z \normalsize + \large\frac{1}{2} \right |$
jeemain
math
complex-numbers-and-quadratic-equations
jeemain-2014
q41
asked
Apr 6, 2014
by
balaji.thirumalai
0
answers
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