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If the circles x^2+y^2+2ax+c^2=0and x^2+...

If the circles `x^2+y^2+2ax+c^2=0`and `x^2+y^2+2by+c^2=0`touch each other,prove that `1/a^2+1/b^2=1/c^2`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 11-EXERCISE
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  4. In /\XYZthe co-ordinate of Y and Z are (-a, 0) and (a, 0), andangle XZ...

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  5. If the three straight lines ax + 2y + 1 = 0, 3y + bx + 1 = 0 and cx+ 4...

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  6. If the circles x^2+y^2+2ax+c^2=0and x^2+y^2+2by+c^2=0touch each other,...

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  7. Find the co-ordinate of a point equidistance from the points' (0, 0. 0...

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  8. Prove that lim(xrarr1)(x^2-sqrtx)/(sqrtx-1)=3

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  9. Prove that sqrt5 is irrational, (use the method of contradiction).

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  10. In xy plane, |x — y | = 1 represents an equation of a circle and one d...

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  13. If sinalpha+sinbeta=1/2,cosalpha+cosbeta=5/4find the value of tanalpha...

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  14. Solve :(x+1)(x+2)(x+3)(x+4)=120

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  15. In a polygon, the mesurement of least internal angle is 120^@. If thea...

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  18. Find the equation of a parabola having the co-ordinate,of vertex is (-...

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  19. Find the equation of an ellipse having vertices (-1, 2)- and (9, 2) . ...

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