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Find the equations of the tangents to th...

Find the equations of the tangents to the circle `x^2 + y^2 = 169` at `(5, 12) and (12, -5)` and prove that they cut at right angles. Also find their point of intersection.

A

parallel

B

perpendicular

C

coincide

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-THE CIRCLE -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. To which of the following circles, the line y- x+3=0 is normal at the...

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  2. The slope of the tangent at the point (h, h) of the circle x^(2)+y^(2...

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  3. Find the equations of the tangents to the circle x^2 + y^2 = 169 at (5...

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  4. Equation of a tangent to the circle x^(2)+y^(2)=25 passing through (-...

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  5. If line 3x + y=0 be a tangent to a circle drawn from origin to a circ...

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  6. Tangents drawn froin the point' (4,3) to the circle x^(2)+y^(2)-2x-4y=...

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  7. Tangents are drawn to the circle x^(2)+y^(2) -2x-4y-4=0 from the point...

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  8. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

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  9. The number of tangents that can be drawn from the point (8,6) to the c...

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  10. The number of tangents that can be drawn from the point (0,1) to the c...

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  11. The equation of the circle which has a tangent 2x-y-1=0 at (3, 5) on i...

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  12. Equation of a circle touching the line |x-2| +|y-3|=4 is (x-2)^(2)+(y...

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  13. A variable circle always touches the line y-x=0 and passes though the ...

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  14. A circle passes through the point (-1,7) and touches the line y = x at...

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  15. The equation of a circle which has its centre on the positive side of ...

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  16. The locus of the point of intersection of tangents to the circle x=a c...

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  17. If the tangent from a point P to the circle x^(2)+y^(2) = 1 is perpen...

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  18. The locus of the point of intersection of tangents to the circle x^(2)...

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  19. The locus of the midpoint of the chord of the circle x^2 + y^2 =4 whic...

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  20. If theta(1), theta(2) be the inclination of tangents with x-axis draw...

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