TS EAMCET · Maths · Pair of Lines
Let \(O A B C\) be a parallelogram. The equation of one diagonal \(A C\) is \(x+y-1=0\) and the combined equation of the sides \(O A, O C\) is \(2 x^2-y^2=0\). If \(G\) is centroid of the triangle \(O A C\), then \(B G=\)
- A \(2 \sqrt{5}\)
- B \(\frac{4}{3} \sqrt{5}\)
- C \(\frac{2}{3} \sqrt{15}\)
- D \(\frac{4}{9} \sqrt{5}\)
Answer & Solution
Correct Answer
(B) \(\frac{4}{3} \sqrt{5}\)
Step-by-step Solution
Detailed explanation
Equation of diagonal of \(A C\) of a parallelogram \(O A B C\) is \(x+y-1=0\) Equation of \(O A\) and \(O C\) is \(2 x^2-y^2=0\) \(\because \quad y= \pm \sqrt{2} x\) Coordinate of \(A(\sqrt{2}-1,2-\sqrt{2})\) \(C=(-\sqrt{2}-1,2+\sqrt{2})\) \(D\) is mid-point of \(A C\)…
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