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A point lies on x-axis at a distance of 9 units from y-axis. What are its coordinates? What will be the coordinates of a point if it lies on y-axis at a distance of -9 units from x-axis?

$\Delta PQR$ is right angled at Q. S is the mid-point of QR and $P{R}^2=a(PS{)}^2+b(PQ{)}^2$

Then a + b is equal to:

In following figures,arrange the sides BC, AC, and CD in descending order.

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In the given figure AD is the bisector of $\angle$A and AB = AC. Then $△$ACD and $△$ADB are congruent by which criterion?

Indians, Egyptians, Europeans and Australians have resided in a village of area 200 $k{m}^2$. If the area is equally divided among the four civilizations, what is the probability that a particular person lands on the land occupied by Indians or Europeans?

In a quadrilateral ABCD, CO and DO are the bisector of $\angle Cand\angle D$ respectively.

Prove that $\angle COD=\frac{1}{2}(\angle A+\angle B).$

Explain, how irrational number differ from rational numbers ?

Choose the correct answer in each of the following :

If the height of a cone is doubled then its volume is increased by

(a) $100\%$ (b) $200\%$ (c) $300\%$ (d) $400\%$

Solve the following:

If numerator is 2 less than denominator of a rational number and when 1 is substracted from numerator and denominator both, the rational number in its simplest form is $\frac{1}{2}$. What is the rational number?

The volume of a sphere is 38808 $c{m}^3$. Find its radius and hence its surface area.

$\text{In q quadrilateral ABCD, show that (AB + BC + CD + DA)}>(AC+BD).$

Why anything multiplied by 0 gives us 0 only

In the adjoining figure, $AB=AC$ and $AP\perp BC$

Which of the following options is correct?

Question 1- sin 6 degree * sin 42 degree * sin 66 degree * sin 78 degree = ?

Question 2 - cos 6 degree* cos 42 degree * cos 66 degree * cos 78 degree =?

Sachin wants to make a pet house for his dog with length, breadth and height of 3m, 2m and 1m respectively. What is the area of walls inside the pet house that has to be painted? [3 MARKS]

If the mean of 6, 4, 7, x and 10 is 8, the value of x is

Zero of a zero polynomial is:

The given figure shows parallelogram ABCD. Points P and Q trisect the side AB, then:

The value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F is:

A line parallel to the Y axis is of the form ____.

An infinite number of tangents can be drawn from (1, 2) to the circle $x^2+y^2-2x-4y+\lambda =0,$ then $\lambda =$

A park is in the form of a square of side 15m. . Find the total area of the park

A bag contains 100 identical marble stones numbered from 1 to 100. What is the probability of drawing a marble having number divisible by both 4 and 5?

Find out how many times did 4 or a greater than 4 number appeared.

$$\begin{array}{ccccccc}Dice& 1& 2& 3& 4& 5& 6\\ Frequency& 10& 12& 6& 4& 8& 10\end{array}$$

Total surface area of a cuboid open at the top having length 2 cm, breadth 3 cm and height 4 cm is .

The length of the minutes hand of a wall clock is 6cm. find the distance covered by the tip of the minutes hand in 25 minutes.

The volume of a cupboard which is in the form of a cuboid of dimensions l $\times$ b $\times$ h is_______.

The sum of interior angles of a pair of parallel lines,formed by a line that intersects the parallel lines is

If the mean of $x$ and $\frac{1}{x}$ is $M$, then the mean of $x^2$ and $\frac{1}{x^2}$ is

Find the value of ‘m‘ if $(-2{)}^2\times (-5{)}^3=50m$

In the adjoining figure. A, B, C are three points on a circle O. If $\angle$AOB = 90${}^{\circ }$ and $\angle$BOC = 120${}^{\circ }$, then $\angle$ABC in degree is -

Find 3 irrational numbers between 4 and 5

If a and b are the zeroes of a polynomial $p{x}^2$ - 5x + q, then the values of p and q, if a + b = ab - 10, are

Factorise

x²+3√3x+6

1:√2:1 are the sides of a triangle. Show that it is a right angled triangle.

Solve these problems:

a) Arjun’s new car payment will be Rs.28800 each month for five years. What is the total payment?

b) In a game of cards, Suresh and Ramesh are making addition problems. The cards are lying below:

The winner of the game is one who makes the question with the largest number as the answer. Suresh eventually got the largest number as result and won the game.

What was the strategy followed by Suresh? (Operation is done on two-digit numbers without repetition)
[4 MARKS]

As RATIONAL is to RATNIOLA, so also TRIBAL is to:

Four cubes each of side 5 cm are joined end to end. The volume of the resulting cuboid is

The distance between the points $-2\frac{1}{2}$ and $-5\frac{1}{4}$ on the number line is

PCB is a right angled triangle. Find AB : PC, given BC = 4 cm.

The sum of the three altitudes of a triangle is ..................... than its perimeter. [1 MARK]

If $x=\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}andy=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}},$ then $x^2+xy+y^2=$

Which of the following is the radical expression?