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Find a rational number between -2 and 6

In the rectangle ABCD, O is any point inside the rectangle. If area($△$AOD) = 30 $c{m}^2$ and area($△$BOC) = 60 $c{m}^2$, Find the area of the rectangle ABCD. [2 MARKS]

If each interior angle of a regular polygon is 150°, then it has _____ sides.

A man invested 10000 rupees, split into two schemes , at annual rates of interests 8% and 9%. After one year he got 875 rupees as interest from both. How much did he invest in each?

Solve the following systems of inequalities graphically:

$x+y\ge 4,2x-y>0$

AB & CD are two equal chords of a circle with centre O which intersect each other at the right angle at point P. If the perpendiculars from the centre to AB and CD meet them at M and N respectively, then MONP is a _______.

$2\sqrt{3}\times 3\sqrt{2}$ is ___. (rational/irrational)

In the below-given figure, there are ___ transversals.

Find the equation of chord of contact of the point (3, 5) on the circle $x^2+y^2+12x+8y+7=0$.

In a figure, If a line intersects two concentric circles (circles with the same centre) with centre O at A, B, C and D. Prove that AB = CD

The collection of all the points in a plane, which are at a fixed distance from a fixed point in the plane, is a/an

Find the complement of of an angle m.

What should be the standard form of the following equation?
$\frac{(5x+y)}{7}=2$

Prove that 3 angles are complementary or not why

Find the mode of: 25, 15,20, 9, 20, 25, 25, 15, 13, 20, 12, 10, 15 , 8.

Statement

All tables are desks

All desks are chairs

Some chairs are sofas

Conclusions

I. Some sofas are tables

II. Some chairs are tables

III. Some desks are tables

In the below Venn-diagram, the set $\{2,3,4,5,7,8,9,10\}$ represents the set ___.

How to find(steps) the zeros of a quadratic polynomia

Which of the following are true about polynomials?
A) A zero of a polynomial need not be 0.
B) 0 may be a zero of a polynomial.
C) A polynomial can have only one zero.
D) Every linear polynomial has one and only one zero.

The diameter of a sphere whose volume is 1047.816 cm³ is

The factorization of $x^3+1$ is

1/√a=√a it is a formula taught to us but why does this happens

Maths check 1

If $x=3+\sqrt{8}$

then $x^4+\frac{1}{x^4}=$ ______

A quadrilateral ABCD is drawn in which the mid points of sides AB , BC , CD and AD are P,Q,R and S respectively. Solve the following questions.

If quadrilateral ABCD is a parallelogram , what can you say about quadrilateral PQRS ?

$(12.4+9.6)\times (0.1+0.001)$ _____ $(1.24\times 10.96)\times 0.2$

We need to store 1l of cold water in warm weather for as long as possible. In which of the following shapes should a flask be built for the task. Assume the thickness and material are same for all the shapes.

Evaluate : $(3a+\frac{1}{2})(3a+\frac{1}{2})$

(X^2-4x)(x^2-4x-1)-20

If $x^3+p{x}^2+qx+6$ has $x-2$ as a factor and leaves remainder $3$ when divided by $x-3$ find the value of $p$ and $q$

Which of the following is a linear polynomial?

Find the value of x³ - 8y³ - 36xy - 216, if x= 2y+6.

For the polynomial 5x³-root 7x²+9x-3 write the

1.Degree

2.co efficient of x³

3. Constant term

4. Name of the polynomial based on degree

The value of $\frac{(1+i{)}^{3000}}{(1-i{)}^{2996}}$ is _____________

In a parallelogram ABCD, if ∠A = 60^o, then ∠D is equal to:

The abscissa of any point on Y-axis is:

Question 19

$(-43)\times (-99)+43$ is equal to

(a) 4300
(b) -4300
(c) 4257
(d) -4214

The figure is a circle with centre O and diameter 10 cm. PQ = 1 cm. Then the length of RS is

Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are:

(i) Length $=12cm$ ,breadth $=8cm$ and height $=4.5cm$

(ii) Length $=26m$, breadth $=14m$ and height $=6.5m$

(iii) Length $=15m$, breadth $=6m$ and height $=5dm$

(iv) Length $=24m$, breadth $=24cm$ and height $=6cm$

A, B, C and D form the coordinates of a trapezium.What would be the perimeter of the trapezium?

Four points A(6,3) , B(-3,5) , C(4,-2) and D(x , 3x) are given in such a way that

ΔDBC/ΔABC = 1/2. Find the value of x.

Simplify:$\frac{9^{\frac{1}{3}\times {27}^{\frac{1}{2}}}}{3^{\frac{1}{6}}\times 3^{-\frac{2}{3}}}$

Two adjacent angles on a straight line are in the ratio 5 : 4. Find the measure of each one of these angles.