List of top Questions asked in JKCET- 2017

If $ cot \,(sin^{-1} \,x) = cos (tan^{-1} \sqrt 3) $ , then $ x = $

The equation of a circle is $ C : x^2 + y^2 - 6 x - 4y + 11 = 0 $ . $ A $ point $ P(4,3) $ that lies on this circle is taken. $ A $ diameter with $ P $ as an end is drawn. What will be the coordinates of its other end?

Which of the following functions is inverse of itself?

A function $ f(x) $ is a differentiable for all $ x \in [1,2] $ such that $ |f'(x) | < 2 $ . Which of the following options can be true ?

If $ (-4, 5) $ is the image of the point $ (6, 1) $ with respect to the line $ L $ , then $ L $ is given by

The mapping $ f : N \to N $ given by $ f(n) = n^3 + 3, n \in N $ where $ N $ is the set of natural number, is

If $ n(P) = 8,n(Q) = 10 $ and $ n(R) = 5 ('n' $ denotes cardinality) for three disjoint sets $ P, Q, R $ then $ n (P \cup Q \cup P ) = $

In a triangle $ PQR, A, B $ and $ C $ are the angles opposite to the corresponding sides of lengths $ a, b $ and $ c $ respectively. If the sides are $ a = 5 $ , $ b = 13 $ and $ c = 12 $ then $ sin \frac{B}{2} + cos \frac{B}{2} = $

$ A $ is a $ 3 \times 3 $ matrix where its first row is $ (1 \,0 \,0) $ , second row is $ (2 \,1 \,0) $ and third row is $ (3 \,2 \,1). P, Q $ and $ R $ are column matrices such that $ AP = (1 \,0 \,0)^T, AQ = (2 \,3 \,0)^T $ and $ AR = (0\, 0\, 1)^T $ . If $ P, Q $ and $ R $ are three columns of matrix $ U $ , then $ | U| = $

A differential equation $ \frac{dy}{dx}= \left(y+4x -4\right)^{2} $ is given. At $ x = 0, y = 4 $ the solution of this differential equation is given by

You are given a curve, $ y = ln (x + e) $ . What will be the area enclosed between this curve and the coordinate axes?

The values of $ x $ for which $ 4^x + 4^{1-x} - 5 < 0 $ , is given by

In which of the following intervals, the function $ y(x) = x^3 - 3x^2 - 9x + 5 $ is always decreasing?

What are the hydrolysis products of sucrose?

The distinction between primary, secondary and tertiary amines can be done experimentally by using

For $ 'c' $ is the arbitrary constant, the solution of the differential equation $ (x^2 + 2y^2)dx - xy\,dy= 0 $ is

If kinetic energy of a body is increased by $300$ % then percentage change in momentum will be

What will be the boiling point of $ 30 \,g $ benzene containing $ 0.75\, g $ of benzoic acid which undergoes $ 75\% $ dimerization? Boiling point of pure benzene $ = 80.1^{\circ}C $ and $ K_b = 2.53 \,K mol^{-1}\, kg $

Under what condition, will $ x/m $ value be equal to pressure of the gas on the surface of the absorbent?

Let the energy of an $ n^{th} $ orbit of $ H $ atom be $ -21.76 \times 10^{19}/n^2\, J $ . What will be the longest wavelength of energy required to remove an electron from the third orbit?

Hoffmann's bromamide reaction is used to

The kinetic energy of electron and photon arc the same. The relation between their De - Broglie wavelengths $ \lambda _e $ and $ \lambda _p $ is

A solid cylinder of mass $ M $ and radius $ R $ rolls on a flat surface. Find its moment of inertia about the line of contact.

Why is $ F_2 $ the strongest oxidizing agent (among halogens) although electron affinity of $ Cl_2 $ is higher than $ F_2 $ ?