Maths-
General
Easy

Question

If θ is angle between pair of lines x squared minus 3 x y plus lambda y squared plus 3 x minus 5 y plus 2 equals 0, then cosec squared invisible function application theta equals

  1. 10
  2. 20
  3. 5
  4. 15

hintHint:

First find the coefficient of y square and then obtain the angle between the pair of straight lines.

The correct answer is: 10


    Given That:
    If θ is angle between pair of lines x squared minus 3 x y plus lambda y squared plus 3 x minus 5 y plus 2 equals 0, then cosec squared invisible function application theta equals
    >>> We first need to find the value of lambda
    >>> Since, it is a pair of straight lines. Then, the determinant should be equal to zero.
    >>>
    >>> This gives  lambda = 2.
    >>> Therefore, now the angle between the pair of straight lines becomes:
    tantheta = fraction numerator 2 square root of n squared minus a b end root over denominator a plus b end fraction
    tantheta = 1 third
    >> We know that
    cos e c squared theta space equals space 1 plus c o t squared theta
space space space space space space space space space space space space space space space space equals space 1 plus fraction numerator 1 over denominator tan squared theta end fraction

    >>> Therefore,cos e c squared theta space equals space 1 plus space 9
    = 10.
    >>>> Therefore, the value of cos e c squared theta is 10.

    >>> lambda = 2.
    >>> tantheta = 1 third
    >>> cos e c squared theta = 10.

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