First slide

Equation of line in Straight lines

Question

If the line through the points (h, 7) and (2, 3) intersects the line 3x – 4y – 5 = 0 at right angles, then the value of h is

Easy

A

-1
B

1
C

5
D

-5

Solution

Product of the slopes of the given lines is – 1.
$\begin{array}{l} \Rightarrow \frac{3}{4} \times \frac{7 - 3}{h - 2} = - 1 \\ h = - 1 \end{array}$

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