Home
Class 12
MATHS
The locus of points of intersection of t...

The locus of points of intersection of the tangents to `x^(2)+y^(2)=a^(2)` at the extremeties of a chord of circle `x^(2)+y^(2)=a^(2)` which touches the circle `x^(2)+y^(2)-2ax=0` is/are :

A

`y^(2)=a(a-2x)`

B

`x^(2)=a(a-2y)`

C

`x^(2)+y^(2)=(x-a)^(2)`

D

`x^(2)+y^(2)=(y-a)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    VK JAISWAL|Exercise Exercise - 3 : Comprehension Type Problems|10 Videos

  • CIRCLE

    VK JAISWAL|Exercise Exercise - 4 : Matching Type Problems|2 Videos

  • CIRCLE

    VK JAISWAL|Exercise Exercise - 5 : Subjective Type Problems|13 Videos

  • BIONMIAL THEOREM

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|15 Videos

  • COMPLEX NUMBERS

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

Similar Questions

Explore conceptually related problems

The locus of the point of intersection of the tangents at the extremities of a chord of the circle x^(2)+y^(2)=r^(2) which touches the circle x^(2)+y^(2)+2rx=0 is

The locus of the point of intersection of the tangents at the extermities of a chord of the circle x^2+y^2=b^2 which touches the circle x^2+y^2-2by=0 passes through the point

The locus of the point of intersection of the tangents at the extremities of the chords of the ellipse x^(2)+2y^(2)=6 which touch the ellipse x^(2)+4y^(2)=4, is x^(2)+y^(2)=4(b)x^(2)+y^(2)=6x^(2)+y^(2)=9(d) None of these

Locus of the point of intersection of the tangents to the circle x^(2)+y^(2)=a^(2), at the points whose parameters differ by alpha, is

The locus of the point of intersection of the two tangents drawn to the circle x^(2)+y^(2)=a^(2) which include are angle alpha is

Locus of point of intersection of perpendicular tangents to the circle x^(2)+y^(2)-4x-6y-1=0 is

Locus of the point of intersection of tangents at the extremities of a chord of the circle x^(2)+y^(2)-2x+4y-4=0 which is parallel to the line 2x-y+3=0 is a straight line whose X-intercept is (A)-3(B)-(3)/(2) (C) 3(D) (3)/(2)

Locus of point of intersection of tangents to the circle x^(2)+y^(2)=a^(2) which makes complimentary angles with X -axis is

The locus of the point of intersection of perpendicular tangents to the circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) , is