Question

Statement -1 : If `a gt b gt c`, then the lines represented by `(a-b)x^(2)+(b-c)xy+(c-a)y^(2)=0` are real and distinct.
Statement-2 : Pair of lines represented by `ax^(2)+2hxy+by^(2)=0` are real and distinct if `h^(2) gt ab`.
A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.
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.

Answer 1

Correct Answer - A
Statement-2 is true (see section -1).
`because" "((b-c)/(2))^(2)-(a-b)(c-a)gt0`
`therefore" By statement-2, the equation"`
`(a-b)x^(2)+(b-c)xy+(c-a)y^(2)=0`
represents a pair of real and distinct lines.