MHT CET · Maths · Pair of Lines
The joint equation of two lines through the origin, each making an angle with measure of \(30^{\circ}\) with the positive Y -axis, is
- A \(x^2-3 y^2=0\)
- B \(2 x^2-3 y^2=0\)
- C \(3 x^2-y^2=0\)
- D \(x^2+3 y^2=0\)
Answer & Solution
Correct Answer
(C) \(3 x^2-y^2=0\)
Step-by-step Solution
Detailed explanation
Slopes of the required lines are \(\mathrm{m}_1=\sqrt{3}\), \(\mathrm{m}_2=-\sqrt{3}\)
\(\therefore \quad\) Required lines are \((y-\sqrt{3} x)(y+\sqrt{3} x)=0\) \(\Rightarrow 3 x^2-y^2=0\)
\(\therefore \quad\) Required lines are \((y-\sqrt{3} x)(y+\sqrt{3} x)=0\) \(\Rightarrow 3 x^2-y^2=0\)
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