The capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is _______.

If the lateral surface area of a cube is 600 cm², then the total surface area is _______.

Which of the following cannot be taken as probability of an event?

If the sides of a triangle are 3 cm, 4 cm and 5 cm, then the area is _______.

The probability based on the concept of relative frequency theory is called _______.

Given that sin \(\alpha\) = \(\frac { 1 }{ 2 } \) and cos \(\beta\) = \(\frac { 1 }{ 2 } \), then the value of \(\alpha\) + \(\beta\) is ________.

The value of cosec(70⁰ + \(\theta\)) - sec(20⁰ - \(\theta\)) + tan(65⁰ + \(\theta\)) - cot(25⁰ - \(\theta\)) is ________.

If cos A = \(\frac { 3 }{ 5 } \), them the value of tan A is

If 2 sin 2\(\theta\) = \(\sqrt { 3 } \) , them the value of \(\theta\) is ________.

The value of tan72° tan18° is ________.

If tan \(\theta\) cot 37⁰ , then the value of \(\theta\) is ________.

If \(\frac { { a }_{ 1 } }{ { a }_{ 2 } } =\frac { { b }_{ 1 } }{ { b }_{ 2 } } \neq \frac { { c }_{ 1 } }{ { c }_{ 2 } } \) where a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 then the given pair of linear equation has _________ solution(s)

The value of k for which the pair of linear equations 4x + 6y −1 = 0 and 2x + ky − 7 = 0 represents parallel lines is  _______.  

Which of the following is not a linear equation in two variable.

Which of the following is a solution of the equation 2x − y = 6.

Find the value of m from the equation 2x + 3y = m. If its one solution is x = 2 and y = −2 .

If (1,−2), (3, 6), (x, 10) and (3, 2) are the vertices of the parallelogram taken in order, then the value of x is ______.

The ratio in which the x-axis divides the line segment joining the points (6, 4) and (1, −7) is ______.

In what ratio does the point Q(1, 6) divide the line segment joining the points P(2, 7) and R(−2, 3) ______.

The coordinates of the point C dividing the line segment joining the points P(2, 4) and Q(5, 7) internally in the ratio 2:1 is______.