Kiểm Tra Toán Học Lớp 10

In the Oxy plane, the circle (C): (x + 1)^2 + (y - 2)^2 = 16 has its center and radius as

• Center I(-1; 2), radius R = 4.

• Center I(1; -2), radius R = 16.

• Center I(1; -2), radius R = 4.

• Center I(-1; 2), radius R = 16.

In the Oxy plane, the standard equation of the ellipse (E) with a major axis length of 8 and a minor axis length of 6 is

• x^2/64 + y^2/36 = 1.

• x^2/16 + y^2/9 = 1.

• x^2/9 + y^2/16 = 1.

• 9x^2 + 16y^2 = 1.

In the Oxy plane, given point A(1; 2) and line d: x + 2y - 3 = 0. The line passing through point A and parallel to line d has the equation

• 2x - y = 0.

• x + 2y - 1 = 0.

• 2x - y - 5 = 0.

• x + 2y - 5 = 0.

In the Oxy plane, which of the following is the equation of a circle?

• x^2 + y^2 - 2x + 4y + 11 = 0.

• 2x^2 + y^2 - 2x + 4y - 11 = 0.

• x^2 - y^2 - 2x + 4y - 11 = 0.

• x^2 + y^2 - 2x + 4y - 11 = 0.

Rolling a fair and balanced die once. The probability of getting two dots is

• 1/3.

• 1/2.

• 1/4.

• 1/6.

A person needs to choose 3 different types of cupcakes to serve at a birthday party. The bakery has 6 different types of cupcakes. How many ways can the person choose 3 types of cupcakes from the bakery?

• 60.

• 20.

• 18.

• 180.

Flipping a fair and balanced coin 3 times in a row. The sample space for this random experiment is

• {NNN, SSS, NNS, SSN, NSN, SNS, NSS, SNN}.

• {NN, NS, SN, SS}.

• {NNN, SSS, NNS, SSN, NSN, SNS}.

From the digits 1, 2, 3, 4, 5, 6, 7, how many different natural numbers with 4 different digits can be formed?

• C(7,4)

• 7^4

• A(7,4)

• P(7,4)

How many ways can 6 students be arranged in a row of 6 chairs?

• 6!

• 6^6

• C(6,6)

• A(1,6)

The quadratic function f(x) = -2x^2 - 4x + 30 is non-negative when and only when?

• x ∈ (-5; 3)

• x ∈ [-5; 3]

• x ∈ (-∞; -5) ∪ (3; +∞)

• x ∈ (-∞; -5] ∪ [3; +∞)