Maths-
General
Easy

Question

If lambda x squared minus 10 x y plus 12 y squared plus 5 x minus 16 y minus 3 equals 0 represents a pair of lines then λ=

  1. 1
  2. 2
  3. 3
  4. 4

hintHint:

  1. The second degree Homogenous equation is said to be a pair of straight lines if the determinant becomes 0.

The correct answer is: 2


    Given That:
    If lambda x squared minus 10 x y plus 12 y squared plus 5 x minus 16 y minus 3 equals 0 represents a pair of lines then λ=
    >>> The second degree non homogenous equation is said to be a pair of straight lines if and only if:
    increment equals=0
    >>> Therefore, the equation is:
    lambda left parenthesis negative 36 minus 64 right parenthesis plus 5 left parenthesis 15 plus 20 right parenthesis minus 5 over 2 left parenthesis negative 40 minus 30 right parenthesis = 0
    lambda = 2.
    >>> Therefore, the value of lambda is 2.

    Therefore, the value of lambda is 2.

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