Home
Class 12
MATHS
Statement I Number of roots of the equat...

Statement I Number of roots of the equation `cot^(-1)x+ cos^(-1) 2x + pi = 0` is zero.
Statement II Range of `cot^(-1) x " and " cos^(-1) x " is " (0, pi) " and " [0, pi]`, respectively.

A

Statement I is True, Statement II is True, Statement II is a correct explanation for statement I

B

Statement I is True, Statement II is True, Statement II is NOT a correct explanation for 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

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise 6|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

Number of solutions (s) of the equations cos^(-1) ( 1-x) - 2 cos^(-1) x = pi/2 is

Find the roots of the equation cot x - cos x=1-cot x cos x

cot^-1(-x) = pi - cot^-1x , x in R

Solve the following equations. cot^-1 x - cot^-1 (x+2) = pi/12, x > 0

The number of real solutions of the equation sqrt(1+cos 2x) = sqrt2 cos^-1 in [pi/2, pi) is

Find the number of solution(s) of the equation cos (pi sqrt(x)) cos (pi sqrt(x-4))=1 .

Number of solutions of the equation cos[x]=e^(2x-1),x in [0,2pi] , where[.] denotes the greatest integer function is

Find the number of solution of the equations |cot x|= cot x +(1)/(sin x), when in [0,2pi]

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

Statement I If alpha , beta are roots of 6x^(2) + 11x + 3 = 0 ", then " cos^(-1) alpha exists but not cot^(-1) beta ( alpha gt beta) . Statement II Domain of cos^(-1) x " is " [-1, 1] .