Questions
The number of distinct normals that can be drawn from (-2, 1) to the parabola
a
1
b
2
c
3
d
0
detailed solution
Correct option is A
We have y2-2y+1=4(x+1)⇒(y-1)2=4(x+1) Equation of axis is y-1=0 Also (-2,1) lies on the axis and it is exterior to the parabola. ∵ 12−4(−2)−2(1)−3=1+8−5=4>0Hence only one normal is possible.Talk to our academic expert!
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Locus of the point of intersection of the normals to the parabola which are at right angles is
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