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Question 2
Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.

$\begin{array}{cccccc}x& -2& -1& 0& 1& 3\\ y& 8& 7& -1.25& 3& -1\end{array}$

In a cyclic quadrilateral ABCD, $\angle$ A : $\angle$ C = 3 : 1 and $\angle$ B : $\angle$ D = 1 : 5; find each angle of the quadrilateral.

Which one of the following is a correct statement?

An observer $\sqrt{3}$m tall is 3 m away from the pole 2$\sqrt{3}$m high. What is the angle of elevation of the top? [2 MARKS]

The radius of a circle is 8 cm and the length of one of its chords is 12 cm. Find the distance of the chord from the centre.

Given 4725 = $3^a{5}^b{7}^c$, find:

(i) the integral values of a, b and c

(ii) the value of 2${}^{-a}{3}^b{7}^c$

A cylinder whose height is two thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.

Find a and b such that (x+1) and (x+2) are factors of polynomial x^3 +ax^2 -bx+ 10.

Find the number of sides of a regular polygon whose interior angle is ${150}^{\circ }$.

Sort the given numbers in ascending order (Highest number comes at the top).

The angles of a quadrilateral are in the ratio 2:4:5:7 . Find the angles .

√5+1/√5-1+√5-1/√5+1

Please solve with reason...

If $9^{x+2}=240+9^x$, then x =

Factorize $x^3-12x(x-4)-64$

$\frac{1}{\sqrt{9}-\sqrt{8}}$ is equal to

The length and breadth of a hall are in the ratio $4:3$ and its height is $5.5m$ . The cost of decorating its walls (including doors and windows) at $Rs.6.60$ per square metre is $Rs.5082$. Find the length and breadth of the room.

Which of the following is the graph representing
$2x-y=10?$

In a triangle ABC, if AB = AC and AB is produced to D such that BD = BC, find $\angle ACD:\angle ADC.$

There is cylindrical platform on the ground. On top of this, I place a cylindrical flag pole which is hollow. I want to paint both the flag pole and the platform with blue paint. What is the area that needs to be painted?

1. 90

Straight lines that are parallel to the Y-axis can be represented as:

The side BC of a $△$ABC produced, such that D is on ray BC. The bisector of $\angle$A meets BC in L. Prove that $\angle$ABC + $\angle$ACD = 2$\angle$ALC. [3 MARKS]

If 2 and 0 are the zeroes of the polynomial f(x)=2x^3-5x^2+ax+b then find the values pf a and b.

The circle $x^2+y^2-6x-4y+9=0$ bisects the circumference of the circle $x^2+y^2-(\lambda +4)x-(\lambda +2)y+(5\lambda +3)=0if\lambda$ is equal to

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 Fig. if x>y, show that LM > LN. [3 MARKS]

The value of b if $f\left(x\right)=x^2+4\sqrt{x}+b$ and $f\left(16\right)=275$ is:

If ${\left(\frac{2}{3}\right)}^x{\left(\frac{3}{2}\right)}^{2x}=\frac{81}{16}$, then x =

Three angles of a quadrilateral are ${75}^{\circ },{90}^{\circ }and{75}^{\circ }$. Find the measure of the fourth angle.

The number 0.318564318564318564.... is:

In the figure, O is the centre of the circle, prove that $\angle x=\angle y+\angle z$.

ABCD is a cyclic quadrilateral in which BA and CD when produced meet in E and EA = ED. Prove that :

(i) AD || BC

(ii) EB = EC

The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.

A field is 200 m long and 150 m broad. There is a plot, 50 m long and 40 m broad, near the field. The plot is dug 7 m deep and the earth taken out is spread evenly on the field. By how many metres is the level of the field raised? Give the answer to the second place of decimal.

Given below is a cumulative frequency table:
$\begin{array}{cc}\text{Marks}& \text{Number of students}\\ \text{Below}10& 17\\ \text{Below}20& 22\\ \text{Below}30& 29\\ \text{Below}40& 37\\ \text{Below}50& 50\\ \text{Below}60& 60\end{array}$
Extaract a frequency table from the above.

A box contains $120$ tabs. Out of $120,30$ tabs are defective. The remaining tabs need to distribute among $5$ people. How many tabs will one person get?

Two coins are tossed simultaneously for 360 times. The number of times ‘2 Tails’ appeared was three times the number ‘No Tail’ appeared and the number of times ‘1 tail’ appeared is double the number of times ‘No Tail’ appeared. What is the probability of getting ‘Two tails’?

The perpendicular distance of the point P(4,3) from the y-axis is?

$(A-B)-(B-C)=$_____

On the day of Equinox the angle of sunrays at 40°N latitude is –

Sir,

Please give the solution that ( 1) find a rational number between -2\3 and 1/4

(2) Find the three rational numbers between -2 and 5

In a parallelogram ABCD, ∠D = 115^o the measure of ∠A and ∠B will be

Two kids Goutham and Pavani are fighting for coins. Finally, Goutham won and stole a coin from Pavani's pocket which has four different coins ( a 1 rupee coin, a 2 rupee coin, a 5 rupee coin, a 10 rupee coin). What are the total number of possible outcomes when Goutham tried to steal a coin?