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Statement - 1 : If non-zero numbers a , ...

Statement - 1 : If non-zero numbers a , b , c are in H.P. , then the equation `(x)/(a) + (y)/(b) = (1)/(c)` represents a family of concurrent lines .
Statement- 2 : A linear equation px + qy = 1 in x , y represents a family of straight lines passing through a fixed point iff there is a linear relation between p and q .

A

Statement -1 is True , Statement - 2 is true , Statement- 2 is a correct explanation for statement - 9

B

Statement-1 is True , Statement-2 is True , Statement -2 is not a correct explanation for Statement - 1 .

C

Statement-1 is True , Statement - 2 is False .

D

Statement - 1 is False , Statement -2 is True .

Text Solution

Verified by Experts

The correct Answer is:
A
Clearly , statement - 2 is true . It is given that a , b , c are in H.P .
`therefore (1)/(a) - (2)/(b) + (1)/(c) = 0`
So , there is a linear relation between the coefficients in the equation `(x)/(a) + (y)/(b) = (1)/(c) ` . So it represents a family of concurrent lines . Thus , statement - 1 is also true and statement -2 is a correct explanation for statement - 1.
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