Home
Class 12
MATHS
Statement I phi(x)=int(0)^(x)(3 sin t+4 ...

Statement I `phi(x)=int_(0)^(x)(3 sin t+4 cos t)dt,[(pi)/(6),(pi)/(3)]phi(x)-`
attains its maximum value at `x=(pi)/(3).`
Statement II `phi(x)int_(0)^(x)(3sint+4cost)dt,phi(x)` is
increasing function in `[(pi)/(6),(pi)/(3)]`

A

Statement I is true, Statement II is also true, Statement II is the correct explanation of statement I.

B

Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I.

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|35 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|11 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|19 Videos
  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

int_(pi/6)^( pi/3)sin(3x)dx

int_(0)^(pi//6) cos x cos 3x dx

If f(x)=int_(0)^(x)(sin^(4)t+cos^(4)t)dt, then f(x+pi) will be equal to

int_(0)^(pi//6) (sin x) /(cos^(3)x) dx is

If f(x) =int_(0)^(x) sin^(4)t dt , then f(x+2pi) is equal to

If g(x)=int_(0)^(x)cos^(4)t dt, then g(x+pi) equals

int_(pi//6)^(pi//3) sin(3x)dx=

If f(x) = int_(0)^(x)(2cos^(2)3t+3sin^(2)3t)dt , f(x+pi) is equal to :