If 2x+y=0 is one of lines respectinted by 3x²+kxy+2y²=0, then the value of k is
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Answer:
k = 11/2
Step-by-step explanation:
Auxiliary equation of the given equation is 2m2 + km + 3 = 0.
Slope of the line 2x + y = 0 is m = − 2.
∴ m = −2 is a root of the auxiliary equation 2m2 + km + 3 = 0
∴ 2(−2)2 − 2k + 3 = 0
∴ 8 − 2k + 3 = 0
∴ k = 11/2
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