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Let (2, 1), (- 3, -2) and (a, b) form a ...

Let (2, 1), (- 3, -2) and (a, b) form a triangle. Show that the collection of the points (a, b) forms a line for which triangle is isosceles. Find the equation of the line.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
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  2. A person standing at the junction (crossing) of two straight paths rep...

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  3. Let (2, 1), (- 3, -2) and (a, b) form a triangle. Show that the collec...

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  4. Does the point (-2.5, 3.5) lie inside, outside or on the circle x^2 + ...

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  7. Find equations to the circles touching Y-axis at (0,3) and making inte...

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  8. Find the area of the equilateral triangle that can be inscribed in the...

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  9. Find the equation of the circle circumscribing the quadrilateral forme...

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  10. If lines 5x + 12y-10 = 0 and 5x- 12y - 40 =0 touch a circle C1 of diam...

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  11. If the distances from the origin to the centres of the three circles x...

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  12. Determine the equation of the circle whose diameter is the chord x + y...

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  13. A rectangle ABCD is inscribed in a circle with a diameter lying along ...

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  14. Find the equation of the circle, which passes through the origin and c...

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  15. Prove that the equation y^2+ 2Ax + 2By +c =0 represents a parabola who...

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  17. Prove that the equation of the parabola whose vertex and focus are on ...

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  18. Find the focus of the parabola x^2=4y

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  19. Show that the locus of the middle points of normal chords of the parab...

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  20. If any tangent to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 cuts off inter...

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