1.

Angle between the tangents drawn to parabola y^(2)+4a^(2)-4ax=0, from origin is :

Answer»

`30^(@)`
`tan^(-1)(2)`
`90^(@)`
`tan^(-1)((1)/(2))`

Solution :
`C_(1):(x+1)^(2)+y^(2)=9,C_(2):(x-2)^(2)+y^(2)=49`
`because QR = R+3`
`PR = 7-r`
`impliesPR+QR=10`
`therefore` Locus of point R is an ELLIPSE for which 2a = 10 and P and Q are its FOCUS.
`implies2a=10" and "2ae = PQ =3impliese=(3)/(10)`


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