Algebra
Sets and Relations
MCQ (Single Correct Answer)
Quadratic Equations
MCQ (Single Correct Answer)
Sequences and Series
MCQ (Single Correct Answer)
Permutations and Combinations
MCQ (Single Correct Answer)
Three Dimensional Geometry
MCQ (Single Correct Answer)
Matrices and Determinants
MCQ (Single Correct Answer)
Mathematical Reasoning
MCQ (Single Correct Answer)
Linear Programming
MCQ (Single Correct Answer)
Trigonometry
Trigonometric Ratios & Identities
MCQ (Single Correct Answer)
Trigonometric Equations
MCQ (Single Correct Answer)
Inverse Trigonometric Functions
MCQ (Single Correct Answer)
Properties of Triangles
MCQ (Single Correct Answer)
Coordinate Geometry
Straight Lines and Pair of Straight Lines
MCQ (Single Correct Answer)
Calculus
Limits, Continuity and Differentiability
MCQ (Single Correct Answer)
Application of Derivatives
MCQ (Single Correct Answer)
Indefinite Integration
MCQ (Single Correct Answer)
Definite Integration
MCQ (Single Correct Answer)
Area Under The Curves
MCQ (Single Correct Answer)
Differential Equations
MCQ (Single Correct Answer)
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

COMEDK 2020 Mathematics - Application of Derivatives Question 25 English

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