1
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If m is the minimum value of k for which the function f(x) = x$$\sqrt {kx - {x^2}} $$ is increasing in the interval [0,3] and M is the maximum value of f in [0, 3] when k = m, then the ordered pair (m, M) is equal to :
A
$$\left( {5,3\sqrt 6 } \right)$$
B
$$\left( {4,3\sqrt 3 } \right)$$
C
$$\left( {4,3\sqrt 2 } \right)$$
D
$$\left( {3,3\sqrt 3 } \right)$$
2
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is 90o, then the length (in cm) of their common chord is :
A
$${{13} \over 5}$$
B
$${{60} \over {13}}$$
C
$${{120} \over {13}}$$
D
$${{13} \over 2}$$
3
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The coefficient of x18 in the product
(1 + x) (1 – x)10 (1 + x + x2)9 is :
A
126
B
- 84
C
- 126
D
84
4
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Consider the differential equation, $${y^2}dx + \left( {x - {1 \over y}} \right)dy = 0$$, If value of y is 1 when x = 1, then the value of x for which y = 2, is :
A
$${3 \over 2} - {1 \over {\sqrt e }}$$
B
$${1 \over 2} + {1 \over {\sqrt e }}$$
C
$${5 \over 2} + {1 \over {\sqrt e }}$$
D
$${3 \over 2} - \sqrt e $$
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