4Ya u're ans is correct
& Thanks :)
The Qs is from one of the tests of aakash test series
The locus of the centre of a circle which cuts the parabola y2 = 4x orthogonally at (1, 2) will pass through the point
1. (3, 4)
2. (4, 3)
3. (5, 3)
4. (2, 4)
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UP 0 DOWN 0 0 2
2 Answers
3(3,4) ???
if a circle cuts it orthogonally then the tangent of the circle at that point will be perpendicular to the tangent to the parabola !!!!!!!!!!!!!
+ the tangent to the parabola and circle pass thru (1,2)
thus the tangent to parabola represents the line called radius of circle ........
the radius always passes thru the center of the circle .....
the eq. of tangent at point 1,2 to the parabola => y = x + 1
thus the locus will pass thru (3,4) ........
pls tell me source of the question .... lookin for problems on co-ordinate geometry .... :)) ....
4