Binomial Theorem

Question
CBSEENMA11015477

The slope of the line touching both the parabolas y2 = 4x and x2-32y is 

  • 1/2

  • 3/2

  • 1/8

  • 2/3

Solution

A.

1/2

For parabola, y2 = 4x
Let y = mx + 1/m be tangent line and it touches the parabola x2=-32y
therefore space straight x squared space equals space minus 32 space open parentheses mx plus 1 over straight m close parentheses
rightwards double arrow space straight x squared space plus 32 mx space plus 32 over straight m space equals space 0
because space straight D space equals 0
therefore space left parenthesis 32 straight m right parenthesis squared space minus space 4 space open parentheses 32 over straight m close parentheses space equals space 0
rightwards double arrow space straight m cubed space equals space 1 over 8
straight m space equals space 1 half

Sponsor Area

Some More Questions From Binomial Theorem Chapter