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If P(-3, 2) is one end of the focal chor...

If P(-3, 2) is one end of the focal chord PQ of the parabola `y^(2) + 4x + 4y = 0`, then the slope of the normal at Q is

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The equation of the tangent at (-3, 2) to the parabola
`y^(2)+4x+4y=0` is
`2y+2(x-3)+2(y+2)`
`=0` or `2x+4y-2=0`
`!x+2y-1=0`
Since the tangent at one end of the focal chord is parallel to the normal at the other end, the slope of the normal at the other end of the focal chord is `-1/2`
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MOTION-PARABOLA-EXERCISE - IV
  1. If P(-3, 2) is one end of the focal chord PQ of the parabola y^(2) + 4...

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  2. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

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  3. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

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  4. A parabola has the origin as its focus and the line x""=""2 as the ...

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  5. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  6. Given : A circle, 2x^2+""2y^2=""5 and a parabola, y^2=""4sqrt(5)""x . ...

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  7. The equation to the line touching both the parabolas y^2 =4x and x^2=...

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  8. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

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  9. Let , P be the point on the parabola y^(2) = 8x which is at a min...

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  10. The centres of those circles which touch the circle x^(2) + y^(2) - 8...

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  11. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

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  12. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

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  13. The axis of a parabola is along the line y=x and the distance of its v...

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  14. The equations of the common tangents to the parabola y = x^2 and y=-...

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  15. Match the following. Normals are drawn at points P Q and R lying on th...

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  16. Statement-1: The curve y=(-x^(2))/2+x+1 s symmetric with respect to th...

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  17. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  18. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  19. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  20. The tangent and normal at P(t), for all real positive t, to the parabo...

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  21. Let A and B be two distinct points on the parabola y^2 = 4x. If the ax...

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