The complete set of values of ' a ' for which the point ( a , a 2 ) , a ∈ R lies inside the triangle formed by the lines x − y + 2 = 0 , x + y = 2 and x -axis is

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MathematicsStraight LinesIntersection of linesMedium2 min

MathematicsMediumsingle choice

The complete set of values of ' $a$ ' for which the point $(a, a^{2}), a \in R$ lies inside the triangle formed by the lines $x - y + 2 = 0, x + y = 2$ and $x$ -axis is

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Answer:

Solution:

$(a, a^{2})$ lies of $y = x^{2}$ $a - a^{2} - 2 = 0 a = - 1, 2$ $a + a^{2} - 2 = 0 a = 1, - 2$

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:Intersection of lines

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