HSC Science (Computer Science) 12th Board ExamMaharashtra State Board
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# Solution - Find k, if one of the lines given by 6x2 + kxy + y2 = 0 is 2x + y = 0 - HSC Science (Computer Science) 12th Board Exam - Mathematics and Statistics

ConceptPair of Lines Not Passing Through Origin-combined Equation of Any Two Lines

#### 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.

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#### APPEARS IN

2015-2016 (March) (with solutions)
Question 1.2.4 | 2 marks
Solution for question: Find k, if one of the lines given by 6x2 + kxy + y2 = 0 is 2x + y = 0 concept: null - Pair of Lines Not Passing Through Origin-combined Equation of Any Two Lines. For the courses HSC Science (Computer Science), HSC Science (Electronics), HSC Arts, HSC Science (General)
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