JEE Mains · Maths · STD 11 - 10.1 circle and system of circle
If the tangents at the points \(P\) and \(Q\) on the circle \(x ^2+ y ^2-2 x + y =5\) meet at the point \(R \left(\frac{9}{4}, 2\right)\), then the area of the triangle \(PQR\) is
- A \(\frac{13}{4}\)
- B \(\frac{13}{8}\)
- C \(\frac{5}{4}\)
- D \(\frac{5}{8}\)
Answer & Solution
Correct Answer
(D) \(\frac{5}{8}\)
Step-by-step Solution
Detailed explanation
Equation of circle is \(x^2+y^2-2 x+y-5=0\) \(R=\frac{5}{2}\) Length of \(P R=Q R=\sqrt{S_1}\) \(=\sqrt{\frac{81}{16}+4-\frac{2 \times 9}{4}+2-5}=\frac{5}{4}\) Area of triangle…
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