List of practice Questions

Identify the correct statement -

When two dice are rolled the probability of getting same odd number on two dice is

The tops of two poles are of height 20 m and 14 m are connected by a wire. If the wire makes an angle 30° with the horizontal, then the length of the wire is

The curved surface area of a cylinder is \(264\ m^2\) and its volume is \(924\ m^3\) then height of the cylinder is

If \(sin \ θ=cos\  θ\) \((0<θ<90°)\), then \(tan\ θ =\) ____ .

If \(tan(A-B)=\frac {1}{\sqrt 3},\ cos \ A=\frac 12 \) then \(∠B=\) ____ .

The value of \(\frac {tan\ α}{\sqrt {1+tan^2α}}\) is ____ .

Calculate the length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm.

In the right angle \(△ABC,\ ∠B=90°\), \(tan\ C=\frac {5}{12}\) then the length of hypotenuse is

If \(A=45°,\ B=60°,\) then \(sin\ A+cos\ B\)

Which vessel shown in the below figure can hold more water?

If the radius of a sphere is '2r' then the volume will be

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3 then the ratio of their volumes are

The radius of the sphere is increased by 100% then the volume of the resultant sphere is increased by

The centroid of a triangle is (4, 1) and two vertices are (2, 3) and (7, 6) then the third vertex is

In the below figure \(△PQR~△ABC\), then \(z+y=\) _____ .

In the below figure OB = 13 cm; OP = 12 cm and OP⊥AB, then the value of AB is

A circle touches the sides of a quadrilateral ABCD at points P, Q, R and S then which of the following is true?

The angle between the tangent and radius drawn through the point of contact is

If the point \(P(x,y)\) divides the line segment joining the points \(A(x_1,y_1\)) and \(B(x_2,y_2)\) internally in the ratio \(m_1:m_2\), then \(P(x, y)=\) _____ .

The mid-point of the line segment joining the points (2, 7) and (12, -7) is

\(△ABC∼△PQR; \ ∠P=60°,\ ∠Q=75°\) then, \(∠A=\) _____ .

From the below figure the value of x= _____.

From the below figure the value of x= _____.

In the below figure \(△RST∼△RBA\), then the value of \(x\) is