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MathsMediumMCQ2014 ยท 06 Apr

Q69.Let a, b, c and d be non-zero numbers. If the point of intersection of the lines 4ax + 2ay + c = 0 & 5bx + 2by + d = 0 lies in the fourth quadrant and is equidistant from the two axes then (1) 3bc โˆ’2ad = 0 (2) 3bc + 2ad = 0 (3) 2bc โˆ’3ad = 0 (4) 2bc + 3ad = 0

What This Question Tests

This question requires finding the intersection point of two lines and then applying conditions related to its quadrant and equal distance from the coordinate axes.

Concepts Tested

Solving system of linear equationsPoint in fourth quadrantEquidistance from axes

Formulas Used

Methods for solving linear equations (e.g., elimination, substitution)

Conditions for fourth quadrant (x>0, y<0)

|x| = |y| for equidistance

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