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Proof of LaGrange's Mean Value theorem

136.the eq of...

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136.the eq of parabola whose latus rectum is 2 units ,axis of line is x+y-2=0 and tangent at vertex is x-y+4=0 is given by

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Q. The equation of parabola whose latus rectum is

2

x + y - 2 = 0

and tangent at the vertex is

x - y + 4 = 0

Q. Consider the parabola whose focus at

(0, 0)

and tangent at vertex is

x - y + 1 = 0

.
The length of the latus rectum is

Q. If equation of the parabola is

(6 x + 8 y - 5)^{2} = 60 (8 x - 6 y + 9),

Q. Find the equation of the parabola whose latus rectum is

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3 x + 4 y = 4

and the tangent at the vertex is the line

4 x - 3 y + 7 = 0

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Q. Find the vertex, axis, focus, and latus rectum of the parabola

4 y^{2} + 12 x - 20 y + 67 = 0

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Proof of LaGrange's Mean Value theorem

Standard XII Mathematics

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