The length of the sub-tangent, ordinate and the sub-normal are in

Question

The length of the sub-tangent, ordinate and the sub-normal are in (A) A.P. (B) H.P. (C) G.P (D) Arithmetico geometric progression

Tardigrade Admin · Accepted Answer

∵ Subtangent =y × (d x/d y) and subnormal =y × (d y/d x) ∴ Subtangent × subnormal =y2=( text ordinate )2 Hence, length of the subtangent, ordinate and the subnormal are in GP.

Q. The length of the sub-tangent, ordinate and the sub-normal are in

A.P.

H.P.

G.P

Arithmetico geometric progression

$∵$ Subtangent $= y \times \frac{d x}{d y}$
and subnormal $= y \times \frac{d y}{d x}$
$∴$ Subtangent $\times$ subnormal $= y^{2} = (ordinate)^{2}$
Hence, length of the subtangent, ordinate and the subnormal are in GP.

Q. The length of the sub-tangent, ordinate and the sub-normal are in

A.P.

H.P.

G.P

Arithmetico geometric progression

∵ Subtangent =y×dydx​ and subnormal =y×dxdy​ ∴ Subtangent × subnormal =y2=( ordinate )2 Hence, length of the subtangent, ordinate and the subnormal are in GP.

$∵$ Subtangent $= y \times \frac{d x}{d y}$
and subnormal $= y \times \frac{d y}{d x}$
$∴$ Subtangent $\times$ subnormal $= y^{2} = (ordinate)^{2}$
Hence, length of the subtangent, ordinate and the subnormal are in GP.