1.

Linex-y=1intersect the parabola y^(2)=4x at A and B. Normals at A and B intersect at C. If D is the point at which line CD is normal to the parabola, then coordinate of point D is

Answer»

`(4,-4)`
(4,4)
`(-4,-4)`
None of these

Solution :`(Sigmax_(i))/(10)=2"and"sqrt((SIGMA(x_(i)-2)^(2))/(10))=3`
`(Sigma(x_(i)+1)^(2))/(10)=(1)/(10).Sigma(x_(1)-2+3)^(2)=(1)/(10).[Sigma(x_(i)-2)^(2)+6.Sigma(x_(i)-2)+3^(2).(10)]`
`=(1)/(10).[90+6.(20-20)+90]=18`


Discussion

No Comment Found

Related InterviewSolutions