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A perpendicular is dropped from the center of a circle to one of its chords. Find the ratio by which the perpendicular divides the chord.

There is a park with two triangular jogging tracks. Rahul and his friend Arjun are jogging. The park has a route map which mentioned that the sides of jogging tracks with the same color have the same length and nothing is mentioned about different colored sides.

Which of the following is true?

Question 2(iii)

Use the identity $(x+a)(x+b)=x^2+(a+b)x+ab$ to find the following products:

$(4x-5)(4x-1)$

A sum of money, lent out at simple interest, doubles itself in 8 years. Find:
(i) the rate of interest
(ii) in how many years will the sum become triple (three times) of itself at the same rate per cent?

If 9 men can do a piece of work in 16 days, then how many men would do it in 24 days.

If a + b + c = 0

Then prove that

a^{​​​​​​5} + b^{​​​​​​5} + c​​​​​^{​​​​​​5} a³ + b^{​​​​​​3} + c^{​​​​​​3} a^{​​​​​​2} + b^{​​​​​​2} + c^{​​​​​​2}

------------------- = ---------------------- × --------------------------

5 3 2

Find the mode for the following data:

(i) 4, 3, 1, 5, 3, 7, 9, 6

(ii) 22, 36, 18, 22, 20, 34, 22, 42, 46, 42

$\sqrt{182.25}$ = ____.

Question 13

If two quantities x and y vary directly with each other, then
(a) $\frac{x}{y}$ remains constant
(b) x-y remains constant
(c) x+y remains constant
(d) $x\times y$ remains constant

$\text{For each pair of rational numbers, given below, verify that the multiplicatin is commutative :}\left(i\right)\frac{-1}{5}\text{and}\frac{2}{9}\left(ii\right)\frac{5}{-3}\text{and}\frac{13}{-11}\left(iii\right)3\text{and}\frac{-8}{9}\left(iv\right)0\text{and}\frac{-12}{17}$

The dimensions of a cuboid are in the ratio of 1 : 2 : 3 and its total surface area is 88 $m^2$. The volume of cuboid is___ $m^3$

Estimate cube root of 5832

1. 9

We have a parallelogram ABCD with AC and BD as diagonals. In Parallelogram ABCD, $\angle ABC={130}^{\circ }$, $\angle DAC={15}^{\circ }$, $\angle CAB={25}^{\circ }$, AB = 5 cm and CD = 7 cm. Can we construct this parallelogram?

In a city 45 families were surveyed for the number of domestic appliances they used. Prepare a frequency array based on their replies as recorded below.

If the volume of a cube is 125 m³ then its side length is:

Question 78

Draw all the diagonals of a pentagon ABCDE and name them.

If the ratio of areas of a rectangle to a square is 7 : 15 and the perimeter of each of them is 60 cm, then the area of the rectangle is.

If ABCD is a cyclic quadrilateral. What will be the value of $x$ (in degrees)?

The internal dimensions of a room are 15 m x 9 x 5 M the measurement of a door in the room are 2 X 1 m find the total cost of painting the four walls of the room if the cost of painting is a 80 permit square

A person marks his goods $10\%$ above cost price. If he allows $40\%$ discount for cash payment, then what is the percentage loss?

In the given figure, ABCD is a parallelogram. DL is perpendicular to AB and AB = 12 cm. AD = 10 cm. If the area of parallelogram is $72c{m}^2$ then, AL = __

Is there any easier way used to split the middle term? Is there any easier way for the calculation?

The probability of an event always lies between ______ .

Tom wants to make a rocket model of the following dimensions.

Find the volume of this rocket model?

Tap on the object which has a flat surface.

Answer of question no 36 of chapter Comparing Quantities of VIII CBSE worksheet send by mentor

Prove that the right bisector of a chord of a circle, bisects the corresponding arc of the circle.

Three angles of a quadrilateral are in the ratio 2:3:5 and the fourth angle is 90°. Find the measures of the other three angles.