The locus of the midpoint of the focal distance of a variable point moving on the parabola y2=4 a x, is a parabola whose

Question

The locus of the midpoint of the focal distance of a variable point moving on the parabola y2=4 a x, is a parabola whose (A) Latus rectum is half of the latus rectum of the original parabola (B) Vertex is (( a /2), 0) (C) Directix is y-axis (D) Focus has the coordinate ( a , 0)

Tardigrade Admin · Accepted Answer

Correct answer is (a) Latus rectum is half of the latus rectum of the original parabolaCorrect answer is (b) Vertex is (( a /2), 0)Correct answer is (c) Directix is y-axisCorrect answer is (d) Focus has the coordinate ( a , 0)

Q. The locus of the midpoint of the focal distance of a variable point moving on the parabola $y^{2} = 4 a x$ , is a parabola whose

Latus rectum is half of the latus rectum of the original parabola

Vertex is $(\frac{a}{2}, 0)$

Directix is $y$ -axis

Focus has the coordinate $(a, 0)$

Correct answer is (a) Latus rectum is half of the latus rectum of the original parabolaCorrect answer is (b) Vertex is $(\frac{a}{2}, 0)$ Correct answer is (c) Directix is $y$ -axis Correct answer is (d) Focus has the coordinate $(a, 0)$

Q. The locus of the midpoint of the focal distance of a variable point moving on the parabola y2=4ax, is a parabola whose

Latus rectum is half of the latus rectum of the original parabola

Vertex is (2a​,0)

Directix is y-axis

Focus has the coordinate (a,0)

Correct answer is (a) Latus rectum is half of the latus rectum of the original parabolaCorrect answer is (b) Vertex is (2a​,0) Correct answer is (c) Directix is y-axis Correct answer is (d) Focus has the coordinate (a,0)

Q. The locus of the midpoint of the focal distance of a variable point moving on the parabola $y^{2} = 4 a x$ , is a parabola whose

Vertex is $(\frac{a}{2}, 0)$

Directix is $y$ -axis

Focus has the coordinate $(a, 0)$

Correct answer is (a) Latus rectum is half of the latus rectum of the original parabolaCorrect answer is (b) Vertex is $(\frac{a}{2}, 0)$ Correct answer is (c) Directix is $y$ -axis Correct answer is (d) Focus has the coordinate $(a, 0)$