Home
Class 12
MATHS
PA and PB are two tangents drawn from po...

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 .
Area of `DeltaAPB` is

A

A. `(25sqrt(3))/(2)`

B

B. `25sqrt(3)`

C

C. `(75sqrt(3))/(2)`

D

D. `(75 sqrt(3))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise EXAMPLES ( Matching Type Questions )|1 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise EXAMPLES ( Subjective Type Examples )|2 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is:

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 If PA=| cos theta + sin theta | and PB=| cos theta - sin theta | , then maximum value of (PC)(PD) , is equal to

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80^@ , then angle POA is equal to

The angle between a pair of tangents drawn from a point P to the parabola y^2= 4ax is 45^@ . Show that the locus of the point P is a hyperbola.

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 question: Let PA=4 , PB=3 cm and CD is diameter of the circle having the length 8 cm. If PC gt PD , then (PC)/(PD) is equal to

Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that /_ PTQ = 2 /_ OPQ .

Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that angle PTQ=2angleOPQ .