1
JEE Main 2017 (Offline)
+4
-1
Out of Syllabus
The normal to the curve y(x – 2)(x – 3) = x + 6 at the point where the curve intersects the y-axis passes through the point :
A
$$\left( {{1 \over 2},{1 \over 2}} \right)$$
B
$$\left( {{1 \over 2}, - {1 \over 3}} \right)$$
C
$$\left( {{1 \over 2},{1 \over 3}} \right)$$
D
$$\left( { - {1 \over 2}, - {1 \over 3}} \right)$$
2
JEE Main 2017 (Offline)
+4
-1
Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the flower-bed, is :
A
10
B
25
C
30
D
12.5
3
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
Let f(x) = sin4x + cos4 x. Then f is an increasing function in the interval :
A
$$] 0, \frac{\pi}{4}[$$
B
$$] \frac{\pi}{4}, \frac{\pi}{2}[$$
C
$$] \frac{\pi}{2}, \frac{5 \pi}{8}[$$
D
$$] \frac{5 \pi}{8}, \frac{3 \pi}{4}[$$
4
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
Out of Syllabus
Let C be a curve given by y(x) = 1 + $$\sqrt {4x - 3} ,x > {3 \over 4}.$$ If P is a point on C, such that the tangent at P has slope $${2 \over 3}$$, then a point through which the normal at P passes, is :
A
(2, 3)
B
(4, $$-$$3)
C
(1, 7)
D
(3, $$-$$ 4),
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