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The sides of a triangular plot are in the ratio 6:4:4 and its perimeter is 112 m. Its area is

If a triangle and a parallelogram are on same base and between same parallels then the ratio of the areas of the triangle to the area of parallelogram is:

An irrational number is plotted (c) on the number line as shown in the figure. Then the value of C is

Write the geometric representation of y=6 as an equation in one variable

What is the difference between ASA congrueny and AAS conguency?

If $A=\{1,2\}$ and $B=\{3,4\},$ then $A\cap B$ = ___.

In the given figure, ABCD is a quadrilateral

then the area of quadrilateral

$ABCD$ = ___________________ $c{m}^2$

Tower X is in which direction of tower Y?

I. Y is to the West of R, which is to the South of X.

II. S is to the West of X and to the North of Y.

Convert the following fraction into decimal form:
$\frac{448}{2500}$

What is the length of BC in the given figure?

Which of the following statements is/are true?

ABCD is a cyclic quadrilateral, in which $\angle DBC={80}^{\circ }$ and $\angle BAC={40}^{\circ }$. $\angle BCD$ (in degrees ) = ___ .

Represent $\sqrt{9.3}$ on the number line.

How many sides does a parallelogram have?

In the figure below, lines RS and PQ intersect each other at point O. If $\angle POR$ : $\angle ROQ$ = 11:13, find $\angle SOQ$.

Evaluate $\frac{15}{\sqrt{10}+\sqrt{20}+\sqrt{40}-\sqrt{5}-\sqrt{80}}$, it us given that $\sqrt{5}=2.236$ and $\sqrt{10}=3.162$

The sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 150 m. Find the area of the triangle.

Match the following columns:

The correct answer is:

(a) ___ $\cdots$,

(b) ___ $\cdots$,

(c) ___$\cdots$,

(d) ___​​​​​​​ $\cdots$,

If the circumference of a circle exceeds its diameter by 180 cm, then find its radius in cm.

Find the zeroes of the polynomial of p(x) = x² + a²

Which of the following option is correct?

S1 : Total surface area of a cuboid is the sum of areas of 4 faces excluding top and bottom faces.

S2 : Lateral surface area of a cuboid is the sum of areas of 4 faces excluding top and bottom faces.

S3 : Area of a face of a cuboid is of the form xy, where x and y are length and breadth respectively.

In the given figure OABC is a rhombus, three of whose vertices lie on a circle with center O.

If the area of the rhombus is $50\sqrt{3}c{m}^2$,

then the area of the circle is sq cm. (Take $\pi =3.14$)

In the given figure, DE || BC. If AD = 6 cm, AB = 24 cm and DE = 5 cm, then BC = ____ cm.

Pavan built a conical flask using 550 $m^2$ of aluminium sheet. If the radius of the flask is 7 m, then how much water can be filled in the flask(in litres)? [The bottom of the flask is of another material.]

Which of the following quadrilateral is not a rhombus ?

Construct a $\Delta ABC$ in which $AB=5.8cm,\angle B={60}^{\circ }$ and $BC+CA=8.4cm$. Justify your constructions.

The unit vector in ZOX plane and making angle ${45}^{\circ }$ and ${60}^{\circ }$ respectively with $\overrightarrow{a}=2\hat{i}+2\hat{j}-\hat{k}$ and $\overrightarrow{b}=0\hat{i}+\hat{j}-\hat{k}$

Water flow in a tank 150 m x 100 m at the base, through a pipe whose cross section is 0.2 m by 0.15 m at the speed of 15 km/hour. In what time, will the water be 3 metres deep?

Convert the decimal 3.4 into fraction. The fraction that you get is?

Simplify ${(2^5÷2^8)}^5\times 2^{-5}$

Point P(2,-3) lies on the line represented by the equation:

If a square is inscribed in a circle with centre 'o' as shown .Then the perimeter of the square given that the radius of the circle is 'a':

In the figure, $P$ and $Q$ are the points of intersection of two circles with centres $O$ and $O^{\prime }.$ If straight lines, $APB$ and $CQD$ are parallel to $O{O}^{\prime },$ then what is the ratio of $O{O}^{\prime }$ and $AB?$

In the adjacent figure 'P' is any interior point of the equilateral triangle ABC of side length 2 units.

If x_{a ,} x_b and x_c represent the distance of P from the sides BC, CA and AB respectively, then x_a + x_b + x_c is equal to

Which of the following statements is correct?

AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, find the radius of the circle.

Question 40

In the following question, fill in the blanks to make the statements true.

Very small number can be expressed in standard from by using ___ exponents.

A point A is 17 cm away from the center of the circle and the length of tangent drawn from A to the circle is 15 cm. Find the radius of the circle.

A brick measures $15cm$ in length, $8cm$ in breadth and $5cm$ in height. How many bricks will be used to make a wall of length $1.5m$, breadth $1m$ and height $0.8m$?

In the adjoining figure, explain how one can find the breadth of the river without crossing it.

In the figure, OA and OB are opposite rays:
(i) If x=${25}^{\circ }$, what is the value of y?
(ii) If y=${35}^{\circ }$, what is the value of x?

Factorize:

$8x^3{y}^3+27a^3$

Factorise:
$21x^2-2x+\frac{1}{21}$

Factorise:
$20x^2-45$

ABCD is a rectangle. Prove that the centre of the circle through A, B, C, D is the point of intersection of its diagonals.