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Quantitative Aptitude

Triangles

Let P, Q, R b...

Question

Let P, Q, R be three points on a Parabola, normals at which are concurrent. The centroid of the triangle Park must lie on 1. A LINE PARALLEL TO DIRECT RIG. 2.THE AXIS OF THE PARABOLA. 3.A LINE OF SLOPE 1 PASSING THROUGH THE VERTEX.

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P, Q, R

be three points on a parabola, normals at which are concurrent. The centroid of the

Δ P Q R

Q. Consider a parabola

y^{2} = 4 x

A

be the vertex of parabola,

P

be any point on the parabola and

B

is a point on the axis of parabola, if

P A ⊥ P B

, then the locus of centroid of

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Q. A circle circumscribing the triangle formed by three co-normal points passes through the vertex of the parabola

y^{2} = 4 a x

(h, k)

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y^{2} = 4 a x

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y^{2} = 12 x

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P

on the axis of the parabola. A line is now drawn through the mid-point

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P N

, parallel to its axis which meets the parabola at

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. If the y-intercept of the line

N Q

\frac{4}{3}

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