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Frequently Asked IIT-JEE Latest Exam Pattern - IIT-JEE Sample Question with Solutions Page 42

(#M40027736) IIT-JEE QUESTION Maths Keep an EYE

If the point P(a, b, c), with reference to (E), lies on the plane 2x + y + z = 1, then the value of 7a + b + c is
(A) 0 (B) 12
(C) 7 (D) 6

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(#M40027735) IIT-JEE QUESTION Maths Keep an EYE

Let M and N be two 3 ´ 3 non-singular skew symmetric matrices such that MN = NM. If PT denotes the
transpose of P, then M2N2 (MTN)–1 (MN–1)T is equal to

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(#M40027734) IIT-JEE QUESTION Maths Keep an EYE

The vector(s) which is/are coplanar with vectors ˆi + ˆj+ 2kˆ and ˆi + 2ˆj+ kˆ , and perpendicular to the vector
ˆi + ˆj+ kˆ is/are

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(#M40027733) IIT-JEE QUESTION Maths Keep an EYE

Let f: R ® R be a function such that f(x + y) = f(x) + f(y), " x, y Î R. If f(x) is differentiable at x = 0, then
(A) f(x) is differentiable only in a finite interval containing zero
(B) f(x) is continuous " x Î R
(C) f¢(x) is constant " x Î R
(D) f(x) is differentiable except at finitely many points

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(#M40027732) IIT-JEE QUESTION Maths Keep an EYE

Let the straight line x = b divides the area enclosed by y = (1 - x)^2, y = 0 and x = 0 into two parts R1(0 £ x
£ b) and R2(b £ x £ 1) such that R1 - R2 =1/4 then b equals

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(#M40027731) IIT-JEE QUESTION Maths Keep an EYE

A straight line L through the point (3, -2) is inclined at an angle 60° to the line sqrt(3x) + y = 1. If L also
intersects the x-axis, then the equation of L is

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(#M40027730) IIT-JEE QUESTION Maths Keep an EYE

Let = ˆ + ˆ + ˆ , = ˆ + ˆ + ˆ



a i j k b i j k and = ˆ - ˆ - ˆ

c i j k be three vectors. A vector

v
in the plane of



a and b , whose
projection on

c
is 1/sqrt3 is given by

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(#M40027729) IIT-JEE QUESTION Maths Keep an EYE

Let P = {q : sin q - cosq = 2 cosq} and Q = {q : sin q + cosq = 2 sin q} be two sets. Then
(A) P Ì Q and Q - P ¹ Æ (B) Q Ë P
(C) P Ë Q (D) P = Q

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(#M40027372) IIT-JEE QUESTION Unit and Dimension Keep an EYE

In an experiment to determine acceleration
due to gravity by simple pendulum, a student
commit positive error in the measurement of
length and 3% negative error in the
measurement of time period. The percentage
error in the value of g will be-
(A) 7% (B) 10%
(C) 4% (D) 3%

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(#M40027366) IIT-JEE QUESTION Unit and Dimension Keep an EYE

To derive the Einstein mass - energy relation

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