1
JEE Main 2021 (Online) 25th February Evening Shift
Numerical
+4
-1
Out of Syllabus
A line is a common tangent to the circle (x $$-$$ 3)2 + y2 = 9 and the parabola y2 = 4x. If the two points of contact (a, b) and (c, d) are distinct and lie in the first quadrant, then 2(a + c) is equal to _________.
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2
JEE Main 2020 (Online) 3rd September Evening Slot
Numerical
+4
-0
Out of Syllabus
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
Out of Syllabus
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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