Pair Of Straight Lines Question 86

Question: The equation $ xy+a^{2}=a(x+y) $ represents

[MP PET 1991]

Options:

A) A parabola is a U-shaped curve where any point is at an equal distance from the focus and directrix. It is defined as the set of all points equidistant from a fixed point (focus) and a fixed line (directrix). The standard form of a parabola that opens upward is y = ax² + bx + c, where a ≠ 0.

B) A pair of straight lines

C) An ellipse is a closed curve traced by a point moving in a plane such that the sum of the distances from two fixed points (foci) is constant.

D) Two parallel straight lines

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Answer:

Correct Answer: B

Solution:

$ xy+a^{2}=a(x+y). $ Firstly always check for pair of straight lines i.e., $ \Delta =0 $



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