Share

# Find k, if one of the lines given by 6x2 + kxy + y2 = 0 is 2x + y = 0 - Mathematics and Statistics

#### Question

Find k, if one of the lines given by 6x2 + kxy + y2 = 0 is 2x + y = 0

#### Solution

Let m1 be the slope of 2x + y = 0.

∴ m1=-2

6x^2+kxy+y^=0

therefore a=6,h=k/2,b=1

m_1+m_2=-(2h)/b=-k

-2+m_2=-k

m_2=-k+2

Now, m_1m_2 =a/b

(-2)(-k+2)=6

2k-4=6

2k=10

k=10/2

k=5

The value of k is 5.

Is there an error in this question or solution?

#### APPEARS IN

2015-2016 (March) (with solutions)
Question 1.2.4 | 2.00 marks
Solution Find k, if one of the lines given by 6x2 + kxy + y2 = 0 is 2x + y = 0 Concept: Pair of Straight Lines - Pair of Lines Not Passing Through Origin-combined Equation of Any Two Lines.
S