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 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

A

(a) 3

B

(b) 4

C

(c) 5

D

(d) 6

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise EXAMPLES ( Matching Type Questions )|1 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise EXAMPLES ( Subjective Type Examples )|2 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

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

P is a point inside the rectangle ABCD such that PA=2 , PB=9 , PC=10 & PD= sqrt k then "k" is equal

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

In figure, if PA and PB are tangents to the circle with centre O such that angleAPB=50^(@) , then angleOAB 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 . Number of solution(s) of the equation log_(cos theta )(x+2)=2+3 log_((x+2)) sin""((5 theta )/(2)) is

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 sin2theta + cos4theta +sin5theta+tan7theta +cos 8theta

In the given figure 5X PA=3X AB=30cm and PC=4 cm Find CD.

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 /_P O A is equal to

If chords AB and CD of a circle intersect each other at a point inside the circle, prove that : PA xx PB = PC xx PD .