Home
Class 12
MATHS
Let A(3, 7) and B(6, 5) are two points. ...

Let A(3, 7) and B(6, 5) are two points. `C:x^(2)+y^(2)-4x-6y-3=0` is a circle.
Q. If O is the origin and P is the center of C, then absolute value of difference of the squares of the lengths of the tangents from A and B to the circle C is equal to :

A

`(AB)^(2)`

B

`(OP)^(2)`

C

`|(AP)^(2)-(BP)^(2)|`

D

`(AP)^(2)+(BP)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    VK JAISWAL ENGLISH|Exercise Exercise - 5 : Subjective Type Problems|12 Videos

  • CIRCLE

    VK JAISWAL ENGLISH|Exercise Exercise - 2 : One or More than One Answer is/are Correct|10 Videos

  • BIONMIAL THEOREM

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|16 Videos

  • COMPLEX NUMBERS

    VK JAISWAL ENGLISH|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

Similar Questions

Explore conceptually related problems

Let A(3, 7) and B(6, 5) are two points. C:x^(2)+y^(2)-4x-6y-3=0 is a circle. Q. The chords in which the circle C cuts the members of the family S of circle passing through A and B are concurrent at:

The square of the length of tangent from (2,- 3) on the circle x^(2)+y^(2)-2x-4y-4=0 is :

The length of the chord of contact of the tangents drawn from the point (-2,3) to the circle x^2+y^2-4x-6y+12=0 is:

Find the equations of the tangents from the point A(3,2) to the circle x^(2)+y^(2)+4x+6y+8=0 .

The pair of tangents from origin to the circle x^(2)+y^(2)+4x+2y+3=0 is

The length of the tangent to the circle x^(2)+y^(2)-2x-y-7=0 from (-1, -3), is

The square of the length of the tangent from (3, -4) on the circle x^2 + y^2 - 4x - 6y+3=0 is: (A) 20 (B) 30 (C) 40 (D) 50

If the length of the tangent from (f,g) to the circle x^(2)+y^(2)=6 be twice the length of the tangent from the same point to the circle x^(2)+y^(2)+3x+3y=0, then

If y= 3x+c is a tangent to the circle x^2+y^2-2x-4y-5=0 , then c is equal to :

Find the locus of a point which moves so that the ratio of the lengths of the tangents to the circles x^2+y^2+4x+3=0 and x^2+y^2-6x+5=0 is 2: 3.