Through the vertex ' O ' of the parabola y 2=4 ax, variable chords OP and OQ are drawn at right angles. If the variable chord PQ intersects the axis of x at R, then distance OR :

Question

Through the vertex ' O ' of the parabola y 2=4 ax, variable chords OP and OQ are drawn at right angles. If the variable chord PQ intersects the axis of x at R, then distance OR : (A) varies with different positions of P and Q (B) equals the semi latus rectum of the parabola (C) equals latus rectum of the parabola (D) equals double the latus rectum of the parabola

Tardigrade Admin · Accepted Answer

Correct answer is (c) equals latus rectum of the parabola

Q. Through the vertex ' $O$ ' of the parabola $y^{2} = 4 a x$ , variable chords $OP$ and $OQ$ are drawn at right angles. If the variable chord $PQ$ intersects the axis of $x$ at $R$ , then distance $OR$ :

varies with different positions of $P$ and $Q$

equals the semi latus rectum of the parabola

equals latus rectum of the parabola

equals double the latus rectum of the parabola

Correct answer is (c) equals latus rectum of the parabola

Q. Through the vertex ' O ' of the parabola y2=4ax, variable chords OP and OQ are drawn at right angles. If the variable chord PQ intersects the axis of x at R, then distance OR :

varies with different positions of P and Q

equals the semi latus rectum of the parabola

equals latus rectum of the parabola

equals double the latus rectum of the parabola

Correct answer is (c) equals latus rectum of the parabola

Q. Through the vertex ' $O$ ' of the parabola $y^{2} = 4 a x$ , variable chords $OP$ and $OQ$ are drawn at right angles. If the variable chord $PQ$ intersects the axis of $x$ at $R$ , then distance $OR$ :

varies with different positions of $P$ and $Q$