Question

the straight line y=mx+c(m>0) touches the parabola y^2 =8(x+2) then the minimum value taken by c is

Answer 1

solve the line with the parabola and apply the condition for tangency. i.e. at the point of tangent we get repetitive roots and hence the discriminate has to be zero. the obtained equation is another quadratic in m and since m is greater then zero. Applying location of roots two condition are to be applied
1. D>=0
2. -b/2a > 0

Answer 2

Answer:

Step-by-step explanation: for JEE MCQ short answer