Home
Class 12
MATHS
Let P={theta:sintheta-costheta=sqrt2cost...

Let `P={theta:sintheta-costheta=sqrt2costheta}and Q={theta: sintheta+costheta=sqrt2sintheta}` be two sets. Then

A

`PsubQ` and `Q-PnecancelO`

B

`QcancelsubP`

C

`PcancelsubQ`

D

`P=Q`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    ALLEN|Exercise EX-JM|7 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    ALLEN|Exercise All Questions|1 Videos

  • DETERMINANTS

    ALLEN|Exercise All Questions|115 Videos

Similar Questions

Explore conceptually related problems

Let P = [theta : sintheta – costheta = sqrt2 costheta) andQ= {theta : sintheta + costheta = 12 sintheta} be two sets. Then:

If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt(2)sintheta

If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt(2)sintheta

If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt(2)sintheta

If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt(2)sintheta

If sintheta+costheta=sqrt(2)cos(90o-theta) , find cottheta .

If costheta-sintheta=sqrt(2)sintheta , then prove that: costheta+sintheta=sqrt(2)costheta

If sintheta + 2 costheta=1 ,then prove that 2sintheta-costheta=2 .

If cos theta-4sintheta=1, the sintheta+4costheta=

If sintheta+costheta=sqrt(2)sin(90^@-theta) , determine cottheta .