TS EAMCET · Maths · Straight Lines
The points \(A(2,1), B(3,-2)\) and \(C(a, b)\) are vertices of the rectangle \(A B C D\). If the point \(P(3,4)\) lies on \(C D\) produced, then \(5 a+10 b=\)
- A 41
- B 10
- C 45
- D -15
Answer & Solution
Correct Answer
(B) 10
Step-by-step Solution
Detailed explanation
Given, \(A B C D\) is a rectangle Slope of \(A B=\frac{-2-1}{3-2}=-3=m_1\) \(\ldots({i})\) Slope of \(B C=\frac{b+2}{a-3}=m_2\) \(\ldots({ii})\) Now \(\quad A B \perp B C \Rightarrow m_1 m_2=-1\) \(\ldots({iii})\) \(\therefore\) Putting value of \(m_1\) and \(m_2\) in Eq. (iii)…
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