If the line px + qy = 0 coincides with one of the lines given by ax2 + 2hxy + by2 = 0, then

Question

If the line px + qy = 0 coincides with one of the lines given by ax2 + 2hxy + by2 = 0, then (A)  ap2 + 2hpq + bq2 = 0  (B) aq2 + 2hpq + bq2 = 0  (C)  aq2 - 2hpq + bp2 = 0  (D) none of these

Tardigrade Admin · Accepted Answer

Correct answer is (c) aq2 - 2hpq + bp2 = 0

Q. If the line px + qy = 0 coincides with one of the lines given by $a x^{2} + 2 h x y + b y^{2} = 0$ , then

$a p^{2} + 2 h pq + b q^{2} = 0$

$a q^{2} + 2 h pq + b q^{2} = 0$

$a q^{2} - 2 h pq + b p^{2} = 0$

none of these

Correct answer is (c) $a q^{2} - 2 h pq + b p^{2} = 0$

Q. If the line px + qy = 0 coincides with one of the lines given by ax2+2hxy+by2=0, then

ap2+2hpq+bq2=0

aq2+2hpq+bq2=0

aq2−2hpq+bp2=0