Question

The lengths of the perpendicular from the points (m², 2m), (mm¢, m + m¢) and (m¢², 2m¢) to the line x + y + 1 = 0 form

• A. an A.P.
• B. a G.P.
• C. a H.P.
• D. None of these

Answer 1

Answer: (B)

a G.P.

Answer 2

p₁ = $\frac { m ^ { 2 } + 2 m + 1 } { \sqrt { 2 } }$ =

p₂ = $\frac { m ^ { \prime } + m + m ^ { \prime } + 1 } { \sqrt { 2 } }$ = $\frac { \left( m ^ { \prime } + 1 \right) ( m + 1 ) } { \sqrt { 2 } }$

p₃ = $\frac { \mathrm { m } ^ { \prime 2 } + 2 \mathrm {~m} ^ { \prime } + 1 } { \sqrt { 2 } }$ =