Equation of a Line Parallel to a Straight Line

If the segmen...

Question

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

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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})}

Δ

⊥

\in

∠

= 5

= 2

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

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