Match the following Column – I with Column – II Column – I Column – II A) The number of polynomials p (x) (with non-negativeinteger coefficients) of degree ≤ 2 satisfying p(0) = 0 and \int^{1}_{0} p (x) dx = 1 is .... P) 4 B) The number of points is the interval [ -\sqrt{13},\sqrt{13}] at which f(x) = \sin(x^2)+\cos(x^2) attains its maximum value is Q) 6 C) \int^{\pi/2}_{0} (sinx)^{cosx} (cosxcotx-\ln(sinx)^{sinx}) . dx = .... R) 1 D) Given a = sin 10° , b = sin 50° , c = sin 70° the value of 1/a+1/b+1/c = ..... S) 2

Correct Answer is : A - S ; B - P ; C - R ; D - Q

A - P , S ; B - P ; C - R ; D - Q , S

A - S ; B - P , R ; C - R ; D - Q , S

A - S ; B - P ; C - R , S ; D - Q

JEE Advanced Model Paper 11 with solutions for online practice

Question : 59 of 60

Marks: +1, -0

Match the following Column – I with Column – II

Column – I

Column – II

A) The number of polynomials p (x) (with non-negativeinteger coefficients) of degree ≤ 2 satisfying p(0) = 0 and

∫

p (x) dx = 1 is ....

P) 4

B) The number of points is the interval [ −√13,√13] at which f(x) = sin(x2)+cos(x2) attains its maximum value is

Q) 6

∫

(sinx)cosx (cosxcotx−ln(sinx)sinx) . dx = ....

R) 1

D) Given a = sin 10° , b = sin 50° , c = sin 70° the value of

= .....

S) 2

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