In the figure shown, O A B C is a rectangle with O A = 3 units, O C = 4 units. If B D = 2.5 units, then the slope of the diagonal O B is equal to

Question

In the figure shown, O A B C is a rectangle with O A = 3 units, O C = 4 units. If B D = 2.5 units, then the slope of the diagonal O B is equal to, 1 2, 2 3, 1 2, 1 3

MARKS App · Accepted Answer

tan ⁡ θ = 3 4 , tan ⁡ ϕ = 3 2 3 = 1 2 slope of O B = tan ⁡ π 2 - θ + ϕ = cot ⁡ θ + ϕ = 1 − 3 4 ⋅ 1 2 3 4 + 1 2 = 1 2

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