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1

### IIT-JEE 1994

The number of points of intersection of two curves y = 2 sin x and y $$= 5{x^2} + 2x + 3$$ is
A
0
B
1
C
2
D
$$\infty$$
2

### IIT-JEE 1992

Let $$\alpha \,,\,\beta$$ be the roots of the equation (x - a) (x - b) = c, $$c \ne 0$$. Then the roots of the equation $$(x - \alpha \,)\,(x - \beta ) + c = 0$$ are
A
a, c
B
b, c
C
a, b
D
a + c, b + c
3

### IIT-JEE 1991

The product of $$n$$ positive numbers is unity. Then their sum is
A
a positive integer
B
divisible by $$n$$
C
equal to $$n + {1 \over n}$$
D
never less than $$n$$
4

### IIT-JEE 1990

The number of solutions of the equation sin$${(e)^x} = {5^x} + {5^{ - x}}$$ is
A
0
B
1
C
2
D
Infinitely many

### Joint Entrance Examination

JEE Main JEE Advanced WB JEE

### Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

NEET

Class 12