Equation of a Line Parallel to a Straight Line

1. If the seg...

Question

1. If the segment joining the points (a,b),(c,d) subtends a right angle at the origin, then (1) ac-bd=0 (2) ac+bd=0 (3) ab+cd=0 (4) ab-cd=0

Open in App

Solution

Suggest Corrections

Similar questions

If the line segment joining the points $A (a, b)$ and $B (c, d)$ subtends an angle $θ$ at the origin, then $cos θ$ is equal to

A (a, b)

B (c, d)

θ

cos θ = a c + b d \sqrt{(a^{2} + b^{2}) (c^{2} + d^{2})}

(a^{2} + a c + c^{2}) (b^{2} + b d + d^{2}) = (a b + b c + c d)^{2}

Δ

⊥

\in

∠

= 5

= 2

∠ B A C = 90^{\circ} a n d A D ⊥ B C

B D . C D = B C^{2}

A B . A C = B C^{2}

B D . C D = A D^{2}

A B . A C = A D^{2}

Join BYJU'S Learning Program