Show that the locus of the point of inte...

Show that the locus of the point of intersection of mutually perpendicular tangetns to a parabola is its directrix.

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Statement-1: y+b=m_(1) (x+a) and y+b=m_(2)(x+a) are perpendicular tangents to the parabola y^(2)=4ax . Statement-2: The locus of the point of intersection of perpendicular tangents to a parabola is its directrix.

Statement-1: The tangents at the extrenities of a forcal of the parabola y^(2)=4ax intersect on the line x + a = 0. Statement-2: The locus of the point of intersection of perpendicular tangents to the parabola is its directrix

The locus of the point of intersection of the perpendicular tangents to the parabola x^(2)=4ay is

The ,locus of the point of intersection of two perpendicular tangents to the parabola y^(2)=4ax is

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ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)

Show that the locus of the point of intersection of mutually perpendic...
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Tangent to the curve y=x^2+6 at a point (1,7) touches the circle x^2+y...
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let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...
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The axis of parabola is along the line y=x and the distance of its ver...
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The equations of the common tangents to the parabola y = x^2 and y=-...
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The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...
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Angle between the tangents to the curve y=x^2-5x+6 at the points (2,0)...
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Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...
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Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...
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Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...
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Statement I The curve y = x^2/2+x+1 is symmetric with respect to the l...
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The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...
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Consider the two curves C1 ; y^2 = 4x, C2 : x^2 + y^2 - 6x + 1 = 0 the...
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A parabola has the origin as its focus and the line x=2 as the directr...
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The tangent PT and the normal PN to the parabola y^2=4ax at a point P...
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Let A and B be two distinct points on the parabola y^2 = 4x. If the ax...
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If two tangents drawn from a point P to the parabola y2 = 4x are at ri...
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Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...
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Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...
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Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...
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The shortest distance between line y-x=1 and curve x=y^2 is
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