JEE Mains · Maths · STD 11 - 9. straight line
Among the statements:
(S1) : If A(5, -1) and B(-2, 3) are two vertices of a triangle, whose orthocentre is (0, 0), then its third vertex is (-4, -7) and
(S2) : If positive numbers 2a, b, c are three consecutive terms of an A.P., then the lines ax + by + c = 0 are concurrent at (2, -2)
- A Only (S1) is correct
- B Only (S2) is correct
- C Both are incorrect
- D Both are correct
Answer & Solution
Correct Answer
(D) Both are correct
Step-by-step Solution
Detailed explanation
Solution of statement - 1 \(m _{AO} \cdot m _{BC}=-1\) \(\Rightarrow 5 h- k +13=0\)\(\quad\)....(1) \(\&\ m_{ AB } \cdot m _{OC}=-1\) \(\Rightarrow 4 k =7 h\)\(\quad\)...(2) ⇒ third vertex is \((-4,-7)\) \(\therefore\) Statement 1 is correct. Solution of statement - 2…
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