Algebra
Quadratic Equations
MCQ (Single Correct Answer)
Sequences and Series
MCQ (Single Correct Answer)
Permutations and Combinations
MCQ (Single Correct Answer)
Sets and Relations
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)
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)
Coordinate Geometry
Straight Lines and Pair of Straight Lines
MCQ (Single Correct Answer)
1
KCET 2023
MCQ (Single Correct Answer)
+1
-0

Which of the following is an empty set?

A
$$\left\{x: x^2+1=0, x \in R\right\}$$
B
$$\left\{x: x^2-9=0, x \in R\right\}$$
C
$$\left\{x: x^2=x+2, x \in R\right\}$$
D
$$\left\{x: x^2-1=0, x \in R\right\}$$
2
KCET 2023
MCQ (Single Correct Answer)
+1
-0

Let the relation $$R$$ be defined in $$N$$ by $$a R b$$, if $$3 a+2 b=27$$, then $$R$$ is

A
$$\left\{\left(0, \frac{27}{2}\right),(1,12),(3,9),(5,6),(7,3)\right\}$$
B
$$\{(1,12),(3,9),(5,6),(7,3),(9,0)\}$$
C
$$\{(2,1),(9,3),(6,5),(3,7)\}$$
D
$$\{(1,12),(3,9),(5,6),(7,3)\}$$
3
KCET 2022
MCQ (Single Correct Answer)
+1
-0

Suppose that the number of elements in set $$A$$ is $$p$$, the number of elements in set $$B$$ is $$q$$ and the number of elements in $$A \times B$$ is 7, then $$p^2+q^2=$$

A
50
B
51
C
42
D
49
4
KCET 2022
MCQ (Single Correct Answer)
+1
-0

Let the relation $$R$$ is defined in $$N$$ by $$a R b$$, if $$3 a+2 b=27$$ then $$R$$ is

A
$$\{(1,12)(3,9)(5,6)(7,3)\}$$
B
$$\left\{\left(0, \frac{27}{2}\right)(1,12)(3,9)(5,6)(7,3)\right\}$$
C
$$\{(1,12)(3,9)(5,6)(7,3)(9,0)\}$$
D
$$\{(2,1)(9,3)(6,5)(3,7)\}$$
KCET Subjects