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In the figure name the following

(i) Five rays

(ii) Five line segments

(iii) Two pairs of non-intersecting line segment.

A, B, C, D and E are collinear points

A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot.
What is the probability that this bulb is defective ?

1. 718670

If D is the mid-point of the hypotenuse AC of a right triangle ABC, prove that BD = $\frac{1}{2}$AC. [4 MARKS]

Ted returned home. When he finished his ride, the bill came along with a map showing roughly the path taken by him and the distance covered as shown in the figure. What is the perimeter of the path taken now?

If Show that AB ≠ BA

If $x=sin({90}^{\circ }-a)cot({90}^{\circ }-a)$, then $x$ is equal to .................

Question 41

Abida bought 100 pens at the rate of Rs 3.50 per pen and pays a sales tax of 4%. The total amount paid by Abida is ___

If $x=0.\overline{18}$, which of the following statements are true?

(i) $100x=18.\overline{18}$

(ii) $100x-x=17.\overline{18}$

(iii) $99x=18$

visualize addition of 25 and 35.

1. \N

Four infinitely ling wires are placed at the vertices of a square of side . Find B at its centre

Students of a school staged a rally for cleanliness campaign in two groups. Group A walked through the lanes AB, BC and CA, while Group B walked through AC, CD and DA. They cleaned the area enclosed within their lanes. If $\text{AB = 9 m, BC = 40 m, CD = 15 m, DA = 28 m and}\angle \text{B = 90°}$, then find which group cleaned more area and the total area cleaned by both groups.

In the given figure, if line AB is parallel to line CD then which of the following is true?

ABCD is a parallelogram. The sum of $\angle A$ and$\angle B$ is

Which of the following shows the visualization of subtraction of 2 from 8 ?

Prove that if an arc of a circle subtends a right angle at any point on the remaining part of the circle, then the arc is a semi-circle.

Given below are four jumbled sentences. Select the option that gives their correct order.



$\left(1\right)$ In simpler terms, it is the Indian version of the Razzies.

$\left(2\right)$ The $3^{\text{rd}}$ Golden Kela Awards will be hosted by Cyrus Broacha this year.

$\left(3\right)$ It was created in order to ridicule the bad performances and as a revenge for wasting our precious time and money on such idiotic films.

$\left(4\right)$ The Golden Kela is held each year where awards are given for the year's worst in Bollywood.

Match the graphs with their linear equations.

Factorise : $2x^3-3x^2-3x+2$

Thomas deposited 7000 rupees in all in two banks. The rate of interest is 8% in one bank and 11% in the other. After a year, he got 680 rupees as interest from both banks together. How much did he deposit in each bank?

Solve for 'x' and 'y', using the method of substitution:
4x + 3y = 12; x - 6y = 9

The ratio of the total surface area of a sphere and a hemisphere of the same radius is

From the choices given below, choose the equation whose graphs are given in the given figures.

	For the first figure		For the second figure
(i)	y = x	(i)	y = x +2
(ii)	x + y = 0	(ii)	y = x − 2
(iii)	y = 2x	(iii)	y = − x + 2
(iv)	2 + 3y = 7x	(iv)	x + 2y = 6

Linear equation obtained by adding 5 on both sides of 3x = x - 1 is

Question 31

Fill in the blanks to make each statement true:

The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then expression for new denominator is ..............

Find the difference of the areas of a sector of angle ${120}^{\circ }$ and its corresponding major sector of a circle of radius 21 cm.

1. 100

In the figure, AC is perpendicular to CE and ∠A: ∠B: ∠C = 3:2:1, the measure of ∠ECD is

Find the remainder when the product of 1692*1786*1412*1886 is divided by 5