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Select the linear equations in one variable.

In rhe figure, ABCD and FECG are parallelograms equal in area. IF $ar\left(△AQE\right)=12c{m}^2,thenar\left(||gmFGBQ\right)$ =

In any triangle ABC, if
the angle bisector of ∠A and
perpendicular bisector of BC intersect, prove that they intersect on
the circum circle of the triangle ABC.

In fig., CP and CQ are tangents to a circle with center O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 7 cm, then find the length (in cm) of BR

In a triangle ABC, O is the center of incircle PQR, $\angle$BAC = ${65}^{\circ }$, $\angle$BCA = ${75}^{\circ }$, find $\angle$ ROQ.

The angle-bisectors of a parallelogram form a quadrilateral as shown in the figure. What can be said about the quadrilateral ABCD?

$If2x^2-3xy+y^2+x+2y-8=0then\frac{dy}{dx}=$

In a circle with centre O, chords AB and CD intersect inside the circumference at E. Prove that $\angle AOC+\angle BOD=2\angle AEC$.

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The sides of a triangle are in the ratio $3:5:7$ and its perimeter is $300m.$ find the area of the triangle.

If PQRS is a rectangle where diagonal PR bisects $\angle P$, then which of the following is not correct?

Give an example of a number x such that $x^2$ is an irrational number and $x^4$ is a rational number.

Represent 0.555555… in a rational form. What is the smallest natural number by which you should multiply the obtained fraction, so that it becomes a terminating decimal. [ 4 MARKS]

2 dice are rolled simultaneously. Find the probability of obtaining

Solve using cross multiplication

5x − 3y = 26

4x + 2y = 34

BD and CE are bisectors of $\angle Band\angle C\text{of an isosceles}\Delta ABCwithAB=AC.$ Prove that BD = CE.

If the area of an equilateral triangle is $25\sqrt{3}c{m}^2$, then its perimeter = ____ cm.

The number of times the clock strikes 12 in a day is 2. Consider the day is January 1st today.

What is the average number of times will the clock will strike 12 in the next 3 months. (The Average should be taken according to number of days in the month.)

If a sheet of paper of length 10 cm and breadth 5 cm is rolled along its length to form a cylinder, then find the volume of the cylinder. Take $\pi$ = 3.14.

The general form of linear equation in one variable is

If $p\left(x\right)=x+3$, then find the value of $p\left(x\right)+p(-x)$

In the given figure, if the altitude and the base of parallelogram are 12 cm and 6 cm respectively, then the area of triangle BEC is:

If $\alpha ,\beta$ are the zeroes of the polynomial $x^2-px+36$ and ${\alpha }^2$+${\beta }^2$ = 9, then what is the value of p?

1. 60

Find the area of the quadrilateral ABCD whose vertices are respectively A (1, 1), B (7, –3) C (12, 2) and D (7,21). [4 MARKS]

What are the possible
expressions for the dimensions of the cuboids whose volumes are given
below?

Question 1 (ix)

Without actually performing the long division, state whether $\frac{35}{50}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Which of the following is an irrational number?

A man bought a pizza and ate half of it. Next day he ate $\frac{1}{3}$rd of what was left. Next day he ate $\frac{1}{4}$th of what was left. The next day he threw the rest of pizza as it was not fresh. What fraction of the pizza was thrown off?