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If the midpoints of adjacent sides of a quadrilateral are joined, we will get a

In ΔABC, AD is the perpendicular bisector of BC (see the given figure). Show that ΔABC is an isosceles triangle in which AB = AC.

The mean of 5 observations is 12. If the mean of the first 3 is 10, then find the mean of the other two.

The population of my country increases at 5% per annum. What type of increase is this?

Two points P & Q are marked on the number line as shown in the figure. The co-ordinate of Q is 9 and the distance between them is 17 units. The co-ordinate of P is

The diagonals of a parallelogram $ABCD$ intersect at $O.$ If $\angle BOC={90}^{\circ }$ and $\angle BDC={50}^{\circ },$ then $\angle OAB$
(a) ${40}^{\circ }$
(b) ${50}^{\circ }$
(c) ${10}^{\circ }$
(d) ${90}^{\circ }$

1.666666...... is a rational number and can be expressed in $\frac{p}{q}$ form. Then p + q is ______.

Question 4(a)

Insert commas suitable and write the names according to the International system of numeration:
78921092

If x is an acute angle and tan x = 5, find the exact value of the trigonometric function sin x.

To get expanded form of 0.205, 2 should be multiplied with ____.

In a $\Delta$ABC, right angled at B, AB=24 cm, BC=7 cm. Determine

(i) sin A, cos A

(ii) sin C, cos C

In an equilateral triangle ABC of side 'a', AD is the perpendicular drawn onto side BC. Find $AD\times cot\theta$ in terms of a.

In the given figure, ∠B < ∠A and ∠C < ∠D. Show that AD < BC.

The area of quadrilateral ABCD is:

A frequency polygon is constructed by plotting frequency of the class interval and the

(a) Upper limit of the class

(b) Lower limit of the class

(c) mid value of the class

(d) any values of the class

Insert three rational no.s between 4/11 and 9/16

In the given figure, ABCD is a parallelogram, OA, OB, OC and OD are the bisectors of $\angle A,\angle B,\angle C$ and $\angle D$ respectively.



The measure of $2(\alpha +\beta )–(x+y)$ is equal to

There are many sources of data (true/false).

Solve for x and y:

$\frac{3}{x+y}+\frac{2}{x-y}=2,\frac{9}{x+y}-\frac{4}{x-y}=1.$

If $\overrightarrow{a}\times (\overrightarrow{b}\times \overrightarrow{c})$ is perpendicular to $(\overrightarrow{a}\times \overrightarrow{b})\times \overrightarrow{c}$ then, we may have,

ABCD is a rhombus If area $\left(ABCD\right)=24c{m}^2$ and AC=8 cm, find the measure of the side of the rhombus.

Prove that a median divides a triangle into two triangles of equal area.

Find the value of ${125}^{-\frac{2}{3}}({125}^{\frac{4}{3}}-{125}^{\frac{2}{3}})$.

Angle a = 104, angle b=25,angle c=90,angle d = x. Calculate the value of x.

In the given figure, $AD\parallel BE\parallel CF$ and $AB=BC$. The ratio of $BE:(AD+CF)=$

In the figure, if $\frac{y}{x}=5$ and $\frac{z}{x}=4$, then the value of x is

A circle divides the plane in which it lies into

The domain of the function ${\cos }^{-1}\left(\frac{1}{1-x}\right)$ is equal to

Co-ordinates of P and Q are _______ respectively:

Which of the following is the factor of the polynomial
$x^3-3x^2-10x+12$ ?