Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Consider the straight line   where <img alt="a, b, c \in R^{+}" src="https://ent

Consider the straight line a x+b y=c  where a, b, c \in R^{+} This line meets the coordinate axes at ‘P’ and ‘Q’ respectively. If the area of triangle OPQ, ‘O’ being origin, does not depend upon a, b and c,then

Option: 1

a, b, c are in G.P.


Option: 2

a, c, b are in G.P.


Option: 3

a, b, c are in A.P


Option: 4

a, c, b are inA.P.


Answers (1)

best_answer

\mathrm{P} \equiv\left(\frac{\mathrm{c}}{\mathrm{a}}, 0\right), \mathrm{Q} \equiv\left(0, \frac{\mathrm{c}}{\mathrm{b}}\right)
\Delta_{\mathrm{OPQ}}=\frac{1}{2}(\mathrm{OP})(\mathrm{OQ})
=\frac{1}{2} \frac{\mathrm{c}^2}{\mathrm{ab}} \text { clearly } \Delta_{\mathrm{OPQ}}  will not depend upon a, b and c if c^2=a b
i.e. a, c, b are in G.P

Posted by

Suraj Bhandari

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

‘Taare Zameen Par’: Bhagwant Mann hails 369 JEE Mains achievers, credits ‘sikhya kranti’ for success
anam-khan

JEE Mains 2026 LIVE: JEE Advanced registration closes on May 2; exam date and timing, BTech cutoffs
anam-khan

JEE Main 2026 toppers reveal success mantras; practice, precision, and perfect strategy

Latest Question