Let p and q be roots of the equation x2−2x+A=0 and let r and s be the roots of the equation x2−18x+B=0. If p<q<r<s are in arithmetic progression, then the values of A and B are
A
3,−77
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B
3,77
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C
−3,−77
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D
−3,77
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Solution
The correct option is D−3,77
Given, Let p and q be roots of the equation x2−2x+A=0 and let r and s be the roots of the equation x2−18x+B=0.
Let the four numbers in A.P. be p=a−3d,q=a−d,r=a+d,s=a+3d.