List of top Questions asked in KEAM

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

The magnetic moment of a trivalent ion of a metal with Z = 24 in aqueous solution is

Choose the wrong statement in the following with regard to orthoboric acid:

Choose the correct choice containing true statements regarding $PCI_5$.
(i) PCI, is prepared by the reaction of white phosphorus with excess of dry chlorine. 
(ii) The complete hydrolysis of PCI, gives phosphoric acid.  
(iii) PCI, has square pyramidal structure in gaseous phase. 
(iv) All the five bonds in PCI, molecule are equivalent.