JEE Advanced Model Paper 6 with solutions for online practice

Passage-I

Angle between the planes a1x + b1y + c1z = d1 and a2x + b2y + c2z = d2 is θ and cosθ =

|a1a2+b1b2+c1c2|

√a12+b12+c12√a22+b22+c22

y2 = 4ax & x2 = 4ay represents standard forms of parabola.
(x−h)2 + (y−k)2 = r2 represents standard form of circle.

Question : 32 of 60

Marks: +1, -0

If the normals to the parabola y2 = 4x drawn from the ends of latusrectum are touching thecircle (x−3)2 + (y−2)3 = r2 then r2

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