COMEDK · Maths · 10. Straight Lines
The orthocent:e of the triangle with vertices \(A(0,0), B(0,3 / 2), C(-5,0)\) is
- A \((-5 / 2,3 / 4)\)
- B \((5 / 2,3 / 4)\)
- C \((0,0)\)
- D \((-5,3 / 2)\)
Answer & Solution
Correct Answer
(A) \((-5 / 2,3 / 4)\)
Step-by-step Solution
Detailed explanation
The triangle formed with vertices \(A(0,0), B\left(0, \frac{3}{2}\right)\) and \(C(-5,0)\) is a right-angled triangle at \(A . \mathrm{So}_{,} B C\) is hypotenuse. So, orthocentre of \(\triangle A B C\) is mid-point of \(B C\). \(\therefore\) Orthocentre…
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