Mathematics class 12

How many three-digit numbers can be formed by using the integers 4, 5, 6, 8 with repetition?

• 64

• 27

• 24

• 6

Solution of 3x = 1 in ℤ₄ is

• 0

• 1

• 2

• 3

If one of the roots of the equation x² + ax + b = 0 and x² + bx + a = 0 is coincident, then the numerical value of (a + b) is

• 0

• -1

• 2

• 5

If the system of equations is 3x - 2y = 1 and - x + 4y = 3 then

• D ≠ D₁

• D₁ ≠ D₂

• D = D₁ = D₂

• D ≠ D₃

The eccentricity of the ellipse 4x² + 9y² = 36 is

• 1/(2√3)

• 1/√3

• √5/3

• √5/6

If a→ and b→ are two vectors then the value of (a→ - b→) × (a→ + b→) is equal to

(Check)

• 2(a→ × b→)

• a²→ - b²→

• -2(a→ × b→)

• 2(a²→ × b²→)

The range of probability of any event A is

• 0 ≤ P(A) ≤ 1

• 0 ≤ P(A) < 1

• -1 ≤ P(A) ≤ 1

• 0 < P(A) < 1

∫x cos x² dx is equal to

• -(1/2) sin² x + c

• (1/2) sin² x + c

• -(1/2)sin x² + c

• (1/2) sin x² + c

The simplex method was developed by

• George Dantzig

• Pythagoras

• Issac Newton

• Abel

If two like parallel forces of (P/Q)N and (Q/P)N have a resultant of 2N, then

• P = Q

• P = -Q

• P = 2Q

• 2P = Q