1
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

The point on the curve $$y^2=x$$, the tangent at which makes an angle 45$$^\circ$$ with X-axis is

A
(1/2, 1/4)
B
(1/4, 1/2)
C
(1/2, 1/2)
D
(1/2, $$-$$1/2)
2
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

The length of the subtangent to the curve $${x^2}{y^2} = {a^4}$$ at $$( - a,a)$$ is

A
2a
B
a/2
C
a/3
D
a
3
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

The range in which $$y = - {x^2} + 6x - 3$$ is increasing, is

A
$$x > 3$$
B
$$x < 3$$
C
$$5 < x < 6$$
D
$$7 < x < 8$$
4
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

OA and OB are two roads enclosing an angle of 120$$^\circ$$. X and Y start from O at the same time. X travels along OA with a speed of 4 km/h and Y travels along OB with a speed of 3 km/h. The rate at which the shortest distance between X and Y is increasing after 1 hour is

A
37 km/h
B
$$\sqrt{37}$$ km/h
C
$$\sqrt{13}$$ km/h
D
13 km/h
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