List of top Questions asked in KEAM

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
Among the following, the alkene that exhibits optical isomerism is
In the estimation of nitrogen present in an organic compound, Kjeldahl's method cannot be applied to
Which one of the following is an ore of aluminium?
The complex ion formed when the film developed in black and white photography is washed with hypo solution is
In which one of the following complexes, the conductivity corresponds to 1:2 electrolyte in aqueous solution?
The metal that has the highest melting point in the first series of transition elements is
In the first row transition metals, the element that exhibits only +3 oxidation state is