WBJEE Maths Test - 7 - JEE MCQ

[-1/2,1/2]

(-1/2,1/2)

[-2,2]

(-2,2)

8

7

1

-1

900

909

999

990

0

π/2

π/4

π/6

1/8

-1/8

1/4

-1/4

(17/3√5)

(17/6√5)

(34/3√5)

(34/√5)

2π/5

π/5

π/15

π/10

2 + i

2 − 10i

− 2 + i

− 2 − 10i

π ∕ 4

π ∕ 2

2006 (sin x)²⁰⁰⁷

none of these

-1, 2

1, 2

0, 1

-1, 1

y=(x³/3)+(cos3x/3)+c

y=(x³/3)-(cos3x/3)+c

y=(x³/3)+sin3x+c

none of these

2 ∕ π

4 ∕ π

0

1

2,3

3,3

2,6

2,4

0

0

e

1/e

2e

(1, 3)

1, − 3

− 1 , 3

− 1, − 3

[(4x)/(1-x²)]. cos[(1+x²)/(1-x²)]

[(x)/(1-x²)²]. cos[(1+x²)/(1-x²)]

[(x)/(1-x²)]. cos[(1+x²)/(1-x²)]

[(4)/(1-x²)²]. cos[(1+x²)/(1-x²)]

x² + y² = a²

x² + y² = b²

x² + y² = a² + b²

x² + y² = a² − b²

5/4

4/5

9/16

16/9

x² - y² = 1

xy = 1

2xy - 4x + 4y + 1 = 0

2xy + 4x - 4y - 1 = 0

a ∈ 5, ∞

none of these

orthogonal matrix

diagonal matrix

symmetric matrix

none of these

1

2

3

4

1

-1

∞

limit does not exist

3

3√3/4

4

3√3

clockwise rotation of the line joining z to the origin in Argand diagram through an angle (π/2)

anti-clockwise rotation of the line joining z to the origin in Argand diagram through an angle (π/2)

rotation of the line joining z to orgin in the Argand diagram through an angle (π/2)

no rotation

$\left(-6,9\right)$

$\left(\mathrm{9,}-6\right)$

$\left(-\mathrm{9,}-6\right)$

$\left(-\mathrm{6,}-9\right)$

(0,-1/2)

(4,9/2)

(4,4)

(-4,-9/2)

120

90

100

80