Answer :

When the straight lines 3x + 6y + 7 = 0 and 2x + ky = 5 are perpendicular the product of their slopes should be equal to –1 .

Slope of 3x + 6y + 7 = 0 is:

; ()

Slope of 2x + ky = 5 is:

Now we have .

∴ when we substitute the values of m1 and m2 we get:

⇒

⇒ 1 = (–1)×k

⇒ 1 = –k or k = –1

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Find the equationTamil Nadu Board - Math

A triangle has veTamil Nadu Board - Math

Find the equationTamil Nadu Board - Math

By using the concTamil Nadu Board - Math

Find the equationTamil Nadu Board - Math

Find the equationTamil Nadu Board - Math

Find the equationTamil Nadu Board - Math

Find the equationTamil Nadu Board - Math

Find the equationTamil Nadu Board - Math

The vertices of ΔTamil Nadu Board - Math