Home
Class 12
MATHS
For any two numbers theta and phi ...

For any two numbers `theta and phi ` , we define ` theta R phi ` if and only if ` sec^(2) theta - tan ^(2) phi =1 ` the relation R is -

A

Reflexive but not transitive

B

symmetric but not reflexive

C

Both reflexive and symmetric but not transitive

D

an Equivalence relation

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE main (AIEEE ) Archive|3 Videos
  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos
  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Assertion Type|2 Videos
  • RELATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

For any two real numbers theta and varphi , we define thetaR varphi if and only if sec^(2)theta-tan^(2)varphi=1 . The relation R is

For any two real number theta and phi we define theta phi if and only if sec^2theta - tan^2theta=1 .the relation R is

If (1+ tan theta) (1+ tan phi)=2, then the value of (theta+ phi) is

Eliminate theta " and " phi tan theta + tan phi = x, cot theta + cot phi = y, theta + phi = alpha

If tan theta =4/5 and tan phi =5/4, then the value of (theta+phi) is-

Find cos( theta + phi) " where " theta " and " phi " are acute angles and " sin theta = 4/5 " and " sin phi = 3/5.

If theta + phi = 60^(@) , show that, sin (120^(@) - theta) = cos (30^(@) - phi) .

If" " tan^(2) theta = 1 + 2 tan^(2) phi, "show that", cos 2theta + sin^(2) phi = 0.

If tan theta + tan phi = x "and" cot theta + cot phi = y, "prove that " cot ( theta + phi) = 1/x -1/y

Prove that, cos^(2) (theta + phi) - sin^(2) (theta - phi) = cos 2 theta cos 2 phi