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If a,b,c and the d are in H.P then find ...

If a,b,c and the d are in H.P then find the vlaue of `(a^(-2)-d^(-2))/(b^(-2)-c^(-2))`

Text Solution

Verified by Experts

The correct Answer is:
3
Let `1//a=A+D,1//c=A+2D,1//d=A+3D.` Then,
`a^(-2)-d^(-2)=A^(2)-(A+3D)^(2)=-3D(2A+3D)`
and `b^(-2)-c^(-2)=-D(2A+3D)`
`rArr(a^(-2)-d^(-2))/(b^(-2)-c^(-2))=3`
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