Home
Class 12
MATHS
Consider a circle , in which a point P ...

Consider a circle , in which a point P is lying inside the circle such that `(PA)(PB)=(PC)(PD)` ( as shown in figure ) .

On the basis of above information , answer the questions
If `PA=| cos theta + sin theta | and PB=| cos theta - sin theta |`, then maximum value of (PC)(PD) , is equal to

A

1

B

`2sqrt(2)`

C

`sqrt(2)`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|8 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

Consider a circle , in which a point P is lying inside the circle such that (PA)(PB)=(PC)(PD) ( as shown in figure ) . On the basis of above information , answer the questions If log_(PA) x=2 , log_(PB)x=3, log_(x) PC=4 , then log_(PD) x is equal to

Consider a circle , in which a point P is lying inside the circle such that (PA)(PB)=(PC)(PD) ( as shown in figure ) . On the basis of above information , answer the questions Let PA=4 , PB=3 cm and CD is diameter of the circle having the length 8. If PC gt CD , then (PC)/(PD) is equal to

If cos theta+sqrt3 sin theta=2 , then the value of theta is equal to

For what value of theta , sin theta + cos theta is maximum

The maximum value of cos theta + sin theta , if

If sin theta+cos theta=1, then the value of sin2 theta is equal to

PA and PB are two tangents drawn from point P to circle of radius 5 . A line is drawn from point P which cuts at C and D such that PC=5 and PD=15 and angleAPB= theta . On the basis of above information answer the questions . Value of sin 2 theta + cos 4 theta + sin 5 theta + tan 7 theta + cot 8theta is equal to

If sin theta + cos theta = x , then the value of cos^(6) theta + sin^(6) theta is equal to

If a sin x+b cos(x+theta)+b cos(x-theta)=d then the minimum value of |cos theta| is equal to