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1
JEE Main 2021 (Online) 25th February Morning Shift
Numerical
+4
-1
The locus of the point of intersection of the lines $$\left( {\sqrt 3 } \right)kx + ky - 4\sqrt 3 = 0$$ and $$\sqrt 3 x - y - 4\left( {\sqrt 3 } \right)k = 0$$ is a conic, whose eccentricity is _________.
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2
JEE Main 2020 (Online) 3rd September Evening Slot
Numerical
+4
-0
If the tangent to the curve, y = ex at a point (c, ec) and the normal to the parabola, y2 = 4x at the point (1, 2) intersect at the same point on the x-axis, then the value of c is ________ .
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3
JEE Main 2020 (Online) 8th January Evening Slot
Numerical
+4
-0
Let a line y = mx (m > 0) intersect the parabola, y2 = x at a point P, other than the origin. Let the tangent to it at P meet the x-axis at the point Q. If area ($$\Delta $$OPQ) = 4 sq. units, then m is equal to __________.
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