Question

The parabola $x=y^2+a y+b$ intersect the parabola $x^2=y$ at $(1,1)$ at right angle. Which of the following is/are correct?

• A. $a=4, b=-4$
• B. $a=2, b=-2$
• C. Equation of the director circle for the parabola $x=y^2+a y+b$ is $4 x+1=0$.
• D. Area enclosed by the parabola $x=y^2+a y+b$ and its latus rectum is $\frac{1}{6}$.

Answer 1

Answer: (C), (D)

Correct answer is (c) Equation of the director circle for the parabola $x=y^2+a y+b$ is $4 x+1=0$.Correct answer is (d) Area enclosed by the parabola $x=y^2+a y+b$ and its latus rectum is $\frac{1}{6}$.