Question

If the equation (a2 + b2)x2 – 2(ac + bd)x + c2 + d2 = 0 has equal roots then Select one:

a. ab = cd

b. ac = bd

c. ad = √bc

d. ab = √cd

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Answer 1

As the equation has zero roots , D= o .

so , if we compare the equation with px²+qx+0 .

q²= 4pr

{2(ac + bd)}²=4.(a² + b²)(c² + d²)

a²c²+b²d²+ 2abcd = a²c²+a²d²+b²c²+b²d²

a²d²+b²c²-2abcd=0

(ad-bc)² = 0

ad= bc

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