If the straight line `a x+c y=2b ,` where `a , b , c >0,` makes a triangle of area 2 sq. units with the coordinate axes, then `a , b , c` are in GP a,

Question

If the straight line `a x+c y=2b ,` where `a , b , c >0,` makes a triangle of area 2 sq. units with the coordinate axes, then `a , b , c` are in GP a,

If the straight line `a x+c y=2b ,` where `a , b , c >0,` makes a triangle of area 2 sq. units with the coordinate axes, then `a , b , c` are in GP a, -b; c are in GP `a ,2b ,c` are in GP (d) `a ,-2b ,c` are in GP
A. a,b,c are in GP
B. a,-b, c are in GP
C. a,2b,c are in GP
D. a,-2b, c are in GP

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A::B
The area of the triangle is given by
`(1)/(2) xx (2b)/(a) xx (2b)/(c) = (2b^(2))/(ac) = 2`
`"or " b^(2) = ac`
Therefore, a,b,c are in GP. So, a,-b, c are alos in GP.

4 views Answered 2023-02-05 15:29