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Two sides of a triangle are of length 4 cm and 2.5 cm. The length of the third side of the triangle cannot be

(a) 6 cm (b) 6.5 cm (c) 5.5 cm (d) 6.3 cm

In the figure, $\angle BAE={60}^{\circ }$ and $\angle CAF={80}^{\circ }$, then $\angle BDA$ is

If $Z$ is defined as the set of letters of the word $contract$, then the set can be represented in the Roster form as:

Find th H.C.F of $3x{y}^2{z}^3$, $3y{z}^2{x}^2$ and $x^2{y}^{2}z$

PQRS is a parallelogram. L and M are points on PQ and SR respecitvely such that PL = MR. Show that LM and QS bisect each other.

Given four points such that no three of them are collinear, then the number of lines that can be drawn through them are:

Find the area of the shaded region in Fig. 12.21, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

Find the area of a right angle triangle if the sum of its two sides containing the right angle is 14 cm and the hypotenuse is 10 cm, also verify the answer using Heron formula.

In the adjoining figure, AB is parallel to CD. Find the value of x.

Expand number 34879.

Evaluate $(\frac{sin49°}{cos41°}{)}^2+(\frac{cos41°}{sin49°}{)}^2$

$$\begin{array}{cc}\text{Assertion (A)}& \text{Reason (R)}\\ \text{Every parallelogram is a rectangle.}& \text{The angle bisectors of a}\\ & \text{parallelogram form a rectangle.}\end{array}$$

The correct answer is: (a)/(b)/(c)/(d).

Simplify: $[{(5z-2)}^2+40z]÷(5z+2)$

The angles of depression of two objects lying on the same side of a hill that is $100m$ tall are found to be ${45}^{\circ }$ and ${30}^{\circ }$. Find the distance between the two objects. (Take $\sqrt{3}=1.732$)

One angle of a hexagon is 120^o. The other five angles are equal to each other. The measure of each equal angle is

Why root 2 is irrational

The orthocentre of the triangle with vertices
$(2,\frac{\sqrt{3}-1}{2}),(\frac{1}{2},-\frac{1}{2})and(2,-\frac{1}{2})$ is

Convert the following fraction with a denominator 24

$\frac{5}{8}$

In a triangle, a line is drawn parallel to one side and a small triangle is cut off.

Prove that the triangle cut off is similar to the original triangle.

A man walks 10 km, then travels a certain distance by train and then by bus as far as twice by the train. If the whole journey is of 70 km, how far did he travel by train?

Solve :
$2x-3y=2,x+2y=8$
using the method of substitution.

In $\Delta ABD$, AB = AD and AC is perpendicular to BD. State the congruence rule by which $\Delta ACB\cong \Delta ACD$.

If an angle differ from its complement by ${10}^{\circ }$, find the angle.

Which of the following statements are true?

In the figure, $\angle DBC={58}^{\circ }.$ BD is a diameter of the circle. Calculate :

(i) $\angle BDC$

(ii) $\angle BEC$

(iii) $\angle BAC$

In the given figure, AD and BC are equal perpendiculars to a line segment AB.

Show that CD bisects AB.

If there is a quadrilateral ABCD and you have measures of any three sides and two diagonals of the quadrilateral ABCD, can you construct it?

$x-y=0$ is a line which is ______________.

A right circular cylinder has a base with radius of 4.2 cm and an altitude of 8.5 cm. It’s lateral surface area (or curved surface area) is

In the given figure, if $\angle$ACB = ${30}^{\circ }$, the value of $\angle$ACD is