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- The angle between the tangents to the parabola y
^{2}=4axat the points where it intersects with the line x-y-a=0 is a]3.14/3

b]3.14/4

c]3.14/6

d]3.14/2 - The area of the triangle formed by the tangent and the normal to the parabola y
^{2}=4ax,both drawn at the same end of the latusrectum, and the axis of the parabola is

a]2.82a^{2}

b]2a^{2}

c]4a^{2}

d]none of these - y=x+2 is any tangent to the parabola y
^{2}=8x. The point P on this tangent is such that the other tangent from it which is perpendicular it is

a](2,4)

b](-2,0)

c](-1,1)

d](2,0) - Angle between the tangents to the curve y=x
^{2}-5x+6 at the points (2,0) and (3,0) is

a]3.14/2

b]3.14/3

c]3.14/6

d]3.14/4 - Radius of the circle that passes through origin and touches the parabola y
^{2}=4ax at the point (a,2a) is

a]3.546a

b]2.82a

c]1.58a

d]2.12a - The mirror image of the parabola y
^{2}=4x in the tangent to the parabola at the point (1,2) is

a](x-1)^{2}=4(y+1)

b](x+1)2=4(y+1)

c](x+1)^{2}=4(y-1)

d](x-1)^{2}=4(y-1) - If the line x+y=1 touches the parabola y
^{2}-y+x=0, then the coordinates of the point of contract are

a](1,1)

b](0.5,0.5)

c](0,1)

d](1,0)

^{2}=4axat the points where it intersects with the line x-y-a=0 is a]3.14/3^{2}=4ax,both drawn at the same end of the latusrectum, and the axis of the parabola is^{2}=8x. The point P on this tangent is such that the other tangent from it which is perpendicular it is^{2}-5x+6 at the points (2,0) and (3,0) is^{2}=4ax at the point (a,2a) is^{2}=4x in the tangent to the parabola at the point (1,2) is^{2}-y+x=0, then the coordinates of the point of contract arehttps://www.meritnation.com/ask-answer/question/prove-that-the-tangents-to-the-curve-y-x-2-5x-6-at-the-point/application-of-derivatives/8331785

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