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AP EAMCET · Maths · Pair of Lines

The pair of straight lines represented by the equation \(3 d x^2-5 x y+\left(d^2-2\right) y^2=0\). If the lines are perpendicular to each other, for how many values of \(d\) this condition will be satisfied?

  1. A 0
  2. B 2
  3. C 1
  4. D 3
Verified Solution

Answer & Solution

Correct Answer

(B) 2

Step-by-step Solution

Detailed explanation

Given, pair of straight lines is \(3 d x^2-5 x y+\left(d^2-2\right) y^2=0\) Since, lines are perpendicular \(\Rightarrow x^2\) coefficient \(+y^2\) coefficient \(=0\)…