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Equation of normal to parabola y^2 = 4ax...

Equation of normal to parabola `y^2 = 4ax` at `(at^2, 2at)` is `y-2at = -t(x-at^2) i.e. y=-tx+2at + at^3` Greatest and least distances between two curves occur along their common normals. Least and greatest distances of a point from a curve occur along the normal to the curve passing through that point. The number of normal(s) from point `(7/6, 4)` to parabola `y^2 = 2x -1` is (A) 1 (B) 2 (C) 3 (D) 0

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Equation of normal to parabola y^2 = 4ax at (at^2, 2at) is y-2at = -t(x-at^2) i.e. y=-tx+2at + at^3 Greatest and least distances between two curves occur along their common normals. Least and greatest distances of a point from a curve occur along the normal to the curve passing through that point. Shortest distance between parabola 2y^2-2x+1=0 and 2x^2-2y+1=0 is: (A) 1/2 (B) 1/sqrt(2) (C) 1/(2sqrt(2)) (D) 2sqrt(2)

Equation of normal to parabola y^2 = 4ax at (at^2, 2at) is y-2at = -t(x-at^2) i.e. y=-tx+2at + at^3 Greatest and least distances between two curves occur along their common normals. Least and greatest distances of a point from a curve occur along the normal to the curve passing through that point. Now answer the following questons: The point on the parabola y^2 = 4x which is nearest to the point (2, 1) is: (A) (1,2) (B) (1,2sqrt(2) (C) (1, -2) (D) none of these

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KC SINHA ENGLISH-CONIC SECTIONS - FOR COMPETITION-Exercise
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  2. Equation of normal to parabola y^2 = 4ax at (at^2, 2at) is y-2at = -t(...

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  3. Equation of normal to parabola y^2 = 4ax at (at^2, 2at) is y-2at = -t(...

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  4. Equation of normal to parabola y^2 = 4ax at (at^2, 2at) is y-2at = -t(...

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  6. A variable point P on the ellipse of eccentricity e is joined to the f...

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  11. An ellipse passes through a focus of the hyperbola x^2/9 - y^2/16 = 1 ...

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  12. An ellipse passes through a focus of the hyperbola x^2/9 - y^2/16 = 1 ...

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  13. Statement I The line y=mx+a/m is tangent to the parabola y^2=4ax for a...

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  14. Let C1 and C2 be respectively, the parabolas x^2=y-1 and y^2=x-1 Let ...

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  15. Let C1 and C2 be respectively, the parabolas x^2=y-1 and y^2=x-1 Let ...

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  17. Consider the parabola P touching x-axis at (1,0) and y-axis (0,2). Dir...

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  19. Prove that the focus of id-points of the portion of the tamgents to th...

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