WBJEE Maths Test - 15 - JEE MCQ

924

1024

724

824

11

10

8

7

-x

-11 x

-x²

-11C₂x²

x² + y² - 4x - 16y + 43 = 0,5x² + 5y² - 12x - 24y + 31 = 0

x² + y² + 4x + 16y - 43 = 0,5x² + 5y² - 12x - 24y + 31 = 0

x² + y² - 4x - 16y + 43 = 0,5x² + 5y² + 12x + 24y + 31 = 0

x² + y² + 4x + 16y - 43 = 0,5x² + 5y² + 12x + 24y + 31 = 0

3

6

9

12

2

tanθ/2

1/2

1/1-cosθ

1 and π/4

√2 and π/3

1 and π/2

-1 and -π/2

10

5

1/10

1/5

a²/ 3

1 /3a²

1 /3a

2 /3a

- 2abc

abc

0

a² + b² + c²

( 16 /3 ) sq.unit

( -16 /3 ) sq.unit

( 4/ 7 ) sq.unit

cannot be calculated

Nonsingular

Singular

Skew symmetric

Symmetric

3 x (1 − y ² )= 4 y 3 + c

3 y (1 + x ² )= 4 x 3 + c

3 y (1 + y ²)    = 4 x 3 + c

None of these

y'=cy

xy'-logy=0

x log y=yy'

y log y=xy'

x/(1 + x²)

x√(1 + x²)

1/√(1 + x²)

x/(1 + x²)

[0,1]∪[2,∞]

[2,∞]

[0,1]

(0,1)∪(2,∞)

2

4

6

8

2

4

6

5

(x²/a²) + (y²/b²) = ex/a

(x2/a²) - (y²/b²) = ex/a

(x²+y²) = (a²+b²)

none of these

5/4

4/5

9/16

16/9

both f(x) and g(x) are increasing functions

both f(x) and g(x) are decreasing functions

f(x) is an increasing function

g(x) is an increasing function

1/√3

- 1/√3

√3

- √3/4

1/ 2

− 1/ 2

1

0

A

B

I

0

1

0

2

Infinite

4 x + 1 = 0

4 x − 1 = 0

4 x + 9 = 0

4 x − 9 = 0

x = nx

x = (n +1/2) π

x = 0

No value of x

3

1/3

2

1/2

2500

2550

2454

3000