List of top Mathematics Questions

The equation of the parabola with focus (3, 0) and directrix x + 3 = 0 is
One of the vertices of the major axis of an ellipse is (1, 1) and one of the vertices of its minor axis is (-2, -1). If the centre of the ellipse is (-2, 1), then the equation of the ellipse is
The equation of the parabola with vertex (-6,2), passing through (-3, 5) and having axis parallel to x-axis is
The two diameters of a circle are segments of the straight lines x - y = 5 and 2x + y = 4. If the radius of the circle is 5, then the equation of the circle is
The end-points of a diameter of a circle are (-1, 4) and (5, 4). Then the equation of the circle is
The equation of the circle is 3x2+3y2+6x-4y-1=0. Then its radius is
A straight line makes an angle a with the positive direction of x-axis, where \(\cos a=\frac{\sqrt3}{2}\). If it passes through (0,-2), then its equation is
If x-intercept of the straight line ax+2ay=30 is 10, then the y-intercept is
The equation of the line which is parallel to \(x+\frac{1}{2}y=\frac{3}{2}\) and passing through (1,3) is
The equation of perpendicular bisector of the line segment joining the points (10, 0) and (0,-4) is
The y-intercept of the line passing through (2, 5) with slope \(\frac{1}{2}\) is equal to
If ay=x+b is the equation of the line passing through the points (-5,-2) and (4, 7), then the value of 2a + b is equal to
If $sin\alpha +sin \beta = \frac{\sqrt6}2$ and $cos \alpha + cos\beta = \frac{\sqrt2}2$ then $coas(\alpha - \beta)$ is equa; to
The values of x in the interval $[0,\pi]$ such that $sin 2x = \frac{\sqrt3}2$
$tan(2tan^{-1}(\frac{2}5))$ is equal to
$cos^4 \frac{\pi}{12} - sin^4 \frac{\pi}{12}$ is equal to
The value of $sin^2(cos^{-1}(\frac{3}5))$ is equal to
If 0 < θ < $\frac{π}2 $ and tanθ = $\frac{\sqrt5}2$, then cosθ is equal to
The value of $tan^{-1} (\frac{7}4) - tan^{-1} (\frac{3}{11})$ is equal to 
If cosecθ + cotθ = 5, then the value of tanθ is equal to
The value of θ in the range 0 ≤ θ ≤ π/2 which satisfies the equation sin (θ + π/6) = cosθ is equal to
Let X be the set {1, π, {42, √2}, {1,3}}. Which of the following statement(s) is/are true? Ρ : π ∈X , Q :{1,3} ⊆ X , R : {1,7} ⊆ X 
The set of all integer values of x that satisfy the inequality 19 ≤ 3x ≤ 27 is
\(\tan^{-1}[\frac{1}{\sqrt3}\sin\frac{5\pi}{2}]\sin^{-1}[\cos(\sin^{-1}\frac{\sqrt3}{2})]=\)
Out of eight crew members, three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arranged so that four men can sit on each side.