If a straight line in X Y plane passes through (-a,-b),(a, b),(k, k), (a^2, a^3), for some real numbers a, b and k, where a \neq 0, then which of the following options is correct?

Correct Answer is : k=0 when a≠b

k is necessarily a positive real number when a=b

{\k} is any positive real number when {\a} \neq {\b}

{\k}= {\a} or {\k}= {\b} necessarily

KEAM 2023 Math Solved Paper

Question : 98 of 120

Marks: +1, -0

If a straight line in XY plane passes through (−a,−b),(a,b),(k,k),(a2,a3), for some real numbers a,b and k, where a≠0, then which of the following options is correct?

k=0 when a≠b
k is necessarily a positive real number when a=b
k is any positive real number when a≠b
k=a or k=b necessarily
k≠0 when a≠b

Validate

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−a	−b	1
a	b	1
k	k	1