Normal to a parabola

JEE Main Mathematics · Parabola · 4 questions, latest first

• The shortest distance between the curves y^2=8 x and x^2+y^2+12 y+35=0 is:20253 April, Shift 2 · Q17
• The radius of the smallest circle which touches the parabolas y=x^2+2 and x=y^2+2 is20253 April, Shift 1 · Q11
• If the shortest distance of the parabola y^2=4 x from the centre of the circle x^2+y^2-4 x-16 y+64=0 is d, then d^2 is equal to:202427 January, Shift 1 · Q10
• If P(h, k) be a point on the parabola x=4 y^2, which is nearest to the point Q(0,33), then the distance of P from the directrix…202330 January, Shift 1 · Q73