1
JEE Main 2020 (Online) 2nd September Morning Slot
+4
-1
Let P(h, k) be a point on the curve
y = x2 + 7x + 2, nearest to the line, y = 3x – 3.
Then the equation of the normal to the curve at P is :
A
x – 3y – 11 = 0
B
x – 3y + 22 = 0
C
x + 3y – 62 = 0
D
x + 3y + 26 = 0
2
JEE Main 2020 (Online) 2nd September Morning Slot
+4
-1
If the tangent to the curve y = x + sin y at a point
(a, b) is parallel to the line joining $$\left( {0,{3 \over 2}} \right)$$ and $$\left( {{1 \over 2},2} \right)$$, then :
A
b = a
B
|b - a| = 1
C
$$b = {\pi \over 2}$$ + a
D
|a + b| = 1
3
JEE Main 2020 (Online) 2nd September Morning Slot
+4
-1
If p(x) be a polynomial of degree three that has a local maximum value 8 at x = 1 and a local minimum value 4 at x = 2; then p(0) is equal to :
A
6
B
12
C
-12
D
-24
4
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness the melts at a rate of 50 cm3/min. When the thickness of ice is 5 cm, then the rate (in cm/min.) at which of the thickness of ice decreases, is :
A
$${1 \over {18\pi }}$$
B
$${1 \over {36\pi }}$$
C
$${1 \over {54\pi }}$$
D
$${5 \over {6\pi }}$$
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