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If t(1)andt(2) are the parameter of the ...

If `t_(1)andt_(2)` are the parameter of the ends of the focal chord `y^(2)=4ax`, then prove that roots of the equation `t_(1)x^(2)+ax+t_(2)=0` are real.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  2. The coordinates of the ends of a focal chord of the parabola y^2=4a x ...

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  3. If t(1)andt(2) are the parameter of the ends of the focal chord y^(2)=...

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  4. If the length of focal chord of y^(2)=4ax is l, then find the angle be...

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  8. If line y=3x+c touches the parabola y^(2)=12 at point P, then find the...

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  9. Find the equation of the tangent to the parabola y=x^(2)-2x+3 at point...

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  10. Find the equation of the tangent to the parabola x=y^(2)+3y+2 having s...

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  12. If a tangent to the parabola y^(2)=4ax meets the x-axis at T and inter...

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  17. Find the equation of the common tangent of y^2=4a x and x^2=4a y.

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  18. If the lines L(1)andL(2) are tangents to 4x^(2)-4x-24y+49=0 and are no...

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  19. Find the shortest distance between the line y=x-2 and the parabola y=x...

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