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If the line L: 2(a^3 - 3)x - ay -a^3 + 3a (where a is not equal to 0 and X is not equal to a ) meets the parabola C: y=x^2 - 3 at a point B on the line L2: x=1, then a is equal to? I wanted to ask if the line L is a tangent to parabola C as "meets" is mentioned there. Also I tried solving it by finding''' from L, then point of contact with tangent of the parabola, and putting the x-coordinate of point of contact equal to 1 but didn't reach answer! Please, help me out!

If the line L: 2(a^3 - 3)x - ay -a^3 + 3a (where a is not equal to 0 and X is not equal to a ) meets the parabola C: y=x^2 - 3 at a point B on the line L2: x=1, then a is equal to?
I wanted to ask if the line L is a tangent to parabola C as "meets" is mentioned there. Also I tried solving it by finding''' from L, then point of contact with tangent of the parabola, and putting the x-coordinate of point of contact equal to 1 but didn't reach answer! Please, help me out!

Grade:11

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