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Considering the points A (1, 1), B (-1, 1) and the origin as the vertices, which type of triangle is obtained?

Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made . (Assume the outer and inner dimensions of the model to be nearly the same.)

Question 3

In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes. By what margin did the successful candidate win the election?

What is the probability of getting at least one six in a single throw of three unbiased dice?

In the figure given below, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. CD=7.8 cm, PD = 5 cm, PB = 4 cm. Select the statements that are true.

Why are quadratic polynomials equated with 0?

If twice the area of a smaller square is subtracted from the area of a larger square, the result is 14cm². However, if twice the area of the larger square is added to three times the area of the smaller square, the result is 203cm². Determine the sides of the two squares.

Graph of the quadratic equation ax² + bx + c = 0 , with a < 0 , D > 0 is

In the figure, given below, AD = BC,

$\angle BAC={30}^{\circ }$ and

$\angle CBD={70}^{\circ }$. Find: $\angle BCA$

How f₁ is calculated in mode?

Question 2 (iv)
Write whether the given statement is true or false. Justify your answer.
Every quadratic equation has at most two roots.

In the given figure $\angle$ AOC $={130}^{\circ }$, The value of $\angle$ABC (in degrees) is _______.

A Boat goes 24 km upstream and 20 km downstream in 6 hours ago 30 kilometre upstream and 21 km downstream in 6 and half hours find speed of boat in still water and also speed of stream?

If x = 2³ x 3 x 5², y = 2² x 3², then HCF (x, y) is :

There are 13 red balls, 6 green balls and 6 blue balls in a bag. What is the probability of drawing (i) red ball (ii) blue ball or a green ball? [2 MARKS]

If ( – 2) is a factor of the expression 2³ + ² + – 14 & when this expression is divided by ( – 3) it leaves the remainder 52. Find the values of & .

The $4^{th}$ term of an AP is $9$ and its $9^{th}$ term is $34.$ The sum of the first $10$ terms of the AP is ___

The line through P(5, 3) intersects y-axis at Q.

(i) Write the slope of the line.

(ii) Write the equation of the line.

(iii) Find the co-ordinates of Q.

The ratio of the monthly income of Krushn and Mallika is 4 : 5 and the ratio of their expenditure id 2 : 3. If their total expenditure is `6000 and the ratio of their savings is 8 : 7, then find their income.

Find a relation between x and y such that the point (x, y) is equidistant from the points (3, 6) and (-3, 4).

If ∆ABC is right angled at C, ∠A = 45^o and BC = 7 units then ∠B and AC will be

If a right angled triangle is revolved about one of the sides containing the right angle it forms a

In triangle ABC, D and E are the points on sides AB and AC respectively. If AB = 18 cm, AD = 8 cm, AE = 12 cm and EC = 15 cm, then which of the following conditions is/are true?

Meena took a loan of Rs. 1200 with simple interest for as many years equal to the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the number of years for which the loan was taken?

The sum of the reciprocals of Rehman's ages, (in years) $3$ years ago and $5$ years from now is $\frac{1}{3}$. Find his present age.

What is meant by co-prime number with example

If a and b are positive integer such that a is equal to bq+r,then every common divisor of b and r,and vice versa

A primary root grows from 5 cm to 19 cm in a week. The absolute growth rate is ________ and the relative growth rate is _______ respectively, over a period of one week.

Total surface area of a hemisphere with radius ${}^{\prime }{r}^{\prime }$ units, will be equal to

In the question let Me be the greatest no that will divide 1305,4665,6905 with same remainder in each case, why do we subtract the numbers from each other?

What are different types of accounts you can open in a bank?

If $\frac{cosa}{cosb}=mand\frac{cosa}{sinb}=n,showthat:(m^2+n^2)co{s}^{2}b=n^2.$

The total surface area of a cylinder whose radius is $4cm$ and height is $10cm$ is _____ $c{m}^2$