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Statement $1$: When two lines intersect each other, only the angles forming the linear pair are supplementary.

Statement $2$: When two lines intersect each other, angles forming the linear pair are supplementary.

Choose one or more correct option(s).

Which of the following is not a solution of the linear equation x + 2y = 6?

Median is defined as:

If parallelogram ABCD and rectangle ABEM are of equal area, then:

A big iron boiler tank which is cylindrical in shape is open at the top. Its height is 10 $\text{m}$ and radius is 7 $\text{m}$. It gets corroded at a rate of 3 ${\text{m}}^2$/day. The number of days it will take to corrode completely is ____ .

$(use\pi =\frac{22}{7})$

Question: 3

Which of the following represent 6 $\times$ $x$ ?

(a) 6$x$

(b) $\frac{x}{6}$

(c) 6 + $x$

(d) 6 -$x$

Write

(i) the coefficient of $x^3$ in $x+3x^2-5x^3+x^4$

(ii) the coefficient of $x$ in $\sqrt{3}-2\sqrt{2}x+6x^2$

(iii) the coefficient of $x^2$ in $2x-3+x^3$

(iv) the coefficient of $x$ in $\frac{3}{8}{x}^2-\frac{2}{7}x+\frac{1}{6}$

(v) the constant term in $\frac{\pi }{2}{x}^2+7x-\frac{2}{5}\pi$

In the given figure, ABCD is a parallelogram. P and Q are midpoints of AB and AD respectively. If the area of parallelogram ABCD is $20c{m}^2$, then the area of $\Delta APQ$ is

An equilateral triangle ABC is inscribed in a circle with centre $O.$ Then, $\angle BOC$ is equal to:

What is the compound interest on a sum of Rs 6000 for a time period of 2 years at 10% per year?

XYZ is an equilateral triangle and PQRS is a square. The figure has been cut and rearranged in the form of a trapezium.

What is the Perimeter of the rectangle ABCD? ( $△$ XYZ is equilateral )

A wire which was bent in the shape of the square, is now given the shape of a circle. What will be the ratio of the areas covered by them?

What will be the volume of the cube if the total surface area of the cube is $36c{m}^2$?

A vertical stick 20 cm long casts a shadow 10 m long on the ground. At the same time, a tower casts a shadow 50 m long on the ground. The height of the tower is:

If three angles of a quadrilateral are ${100}^{\circ }$ ,${90}^{\circ }$ and ${85}^{\circ }$, then the fourth angle is _____.

In the given figure, AB is the diameter of the circle. AC is equal to BC. Find the value of $\angle ABC$.

(a²-b²)(c²-d²)-4abcd

If the altitudes from two vertices of a triangle to the opposite sides are equal then the triangle is

(a) equilateral (b) isosceles

(c) scalene (d) right angled

The values of $x$ and $y$ are
(a) $x=130,y=120$
(b) $x=120,y=130$
(c) $x=120,y=120$
(d) $x=130,y=130$

6-4√2/6+4√2. Rationalise

In the figure, sides $PQ$ and $RQ$ of $△PQR$ are produced to points $S$ and $T,$ respectively. If $\angle SPR={135}^{\circ }$ and $\angle PQT={110}^{\circ }$, find $2\angle PRQ.$

A recipe calls for 1 cup of milk for every $2\frac{1}{2}$ cups of flour to make a cake that would feed 6 persons. How many cups of both flour and milk will be needed to make a similar cake for 8 persons?

find the zeros of the polynomial f(x)= x^3-5x^2-16x+80, if its two zeros are equal in magnitude but opposite in sign

There were two sacks containing numbers, sack A contained the set of positive integers while sack B contained the set of whole numbers. Which sack contains more numbers?

In the given figure, lengths of the chords $AB$ and $CD$ are $12cm$ and $18cm$ respectively and distance between them is $15cm$. Find the radius of the circle.