1
JEE Main 2020 (Online) 5th September Evening Slot
Numerical
+4
-0
Out of Syllabus
Change Language
If the lines x + y = a and x – y = b touch the
curve y = x2 – 3x + 2 at the points where the curve intersects the x-axis, then $${a \over b}$$ is equal to _______.
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2
JEE Main 2020 (Online) 8th January Evening Slot
Numerical
+4
-0
Change Language
Let ƒ(x) be a polynomial of degree 3 such that ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point at x = –1 and ƒ'(x) has a critical point at x = 1. Then ƒ(x) has a local minima at x = _______.
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3
JEE Main 2020 (Online) 8th January Morning Slot
Numerical
+4
-0
Out of Syllabus
Change Language
Let the normal at a point P on the curve
y2 – 3x2 + y + 10 = 0 intersect the y-axis at $$\left( {0,{3 \over 2}} \right)$$ .
If m is the slope of the tangent at P to the curve, then |m| is equal to
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