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Three Dimensional Geometry

Question

If the straight line y = mx + c (m > 0) touches the parabola y² = 8(x + 2), then the minimum value taken by c is

12

8

4

6

Solution

The tangent of slope m must be of the form y = m(x + 2) + a/m
$so comma space 2 straight m space plus 2 over straight m space equals space straight c rightwards double arrow space straight c space equals 2 open parentheses straight m plus 1 over straight m close parentheses greater or equal than space 2 space straight x space 2 space therefore straight c subscript min space equals space 4$

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Three Dimensional Geometry

If the straight line y = mx + c (m > 0) touches the parabola y² = 8(x + 2), then the minimum value taken by c is

12

8

4

6

Some More Questions From Three Dimensional Geometry Chapter

Find the direction cosines of x, y and z-axis.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Three Dimensional Geometry

If the straight line y = mx + c (m > 0) touches the parabola y2 = 8(x + 2), then the minimum value taken by c is 12 8 4 6

Some More Questions From Three Dimensional Geometry Chapter

Find the direction cosines of x, y and z-axis.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

If the straight line y = mx + c (m > 0) touches the parabola y² = 8(x + 2), then the minimum value taken by c is

12

8

4

6