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If you add $\frac{101}{7}$ to $\frac{99}{7}$ , you will get ___.

Find the zero of the polynomial p(x)=4x

Suppose p denotes the perimeter of a triangle with sides a, b and c and s is the semi perimeter. If A denotes the area of the triangle, $\frac{\sqrt{p(p-2a)(p-2b)(p-2c)}}{A}$ = __.

If two sides of a triangle are 8 cm and 13 cm, then the length of the third side is between a cm and b cm. Find the values of a and b such that a is less than b.

Insert a rational number between 1 and 1.1

A metal cube of side $5cm$ is melted and cast into a cuboid whose base is $2.5cm\times 0.5cm.$ Then the height of the cuboid is ___ $cm$.

The value of x satisfying 28 * x^1/2 + 1426 = 3/4(2872)

If b>0,b^2=a,then find value of ,√a?

Input: spells 44 58 71 of trumpet distortion 15

Which of the following will be the step IV?

Govind borrows Rs.18,000 at 10% simple interest. He immediately invests the money borrowed at 10% compound interest compounded half-yearly. How much money does Govind gain in one year ?

If the value of tan α=52, then the value of cotθ if α+θ=90∘ equals .

D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Then:

If $A=\left[\begin{array}{cc}1& -1\\ 1& 1\end{array}\right]$ then $A^{16}$ =

In ∆ABC,B=35° and C=65°and the bisectors of angle BAC meets BC at X.Arrange AX,BX and CX in their decreasing order

If log₁₀a = x, log₁₀b = y, then value ab is

The line drawn through the centre of a circle to bisect a chord is __ to the chord.

How many dimensions does a surface have according to Euclid?

The expanded form of an expression is $(x–y)(x^2+xy+y^2$). Which of the following is the expression?

If the base of a triangular field is 12cm and height is 14cm.What will be the area of the triangle in ${cm}^2$?

Y= √a+2b + √a-2b ÷ √a+2b - √a-2b , prove that

by^{​​​​​2}​​​​-ay+b=0

Prove that (x+y)³ - (x-y)³ - 6y(x² - y² ) = 8y³

The given figure shows a square and regular pentagon. Find the value of x in the following figure.

Using protractor, draw a right angle. Bisect it to get an angle of measure ${45}^{\circ }$.

Angles in the same segment of a circle are

(a) equal

(b) complementary

(c) supplementary

(d) none of these

Factorise:
$2-50x^2$

IN the figure, PQRS is a parallelogram. If X and Y are mid points of PQ and SR respectively and diagonal SQ is joined, the ratio $ar\left(||gmXQRY\right):ar\left(△QSR\right)$=

A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?

A slide projector gives a magnification of 10. If a slide of dimensions 3 cm x 2 cm is projected on the screen, the area of the image on the screen is:

How to write sets in rule method or set builder form

An eight-sided polygon is known as

standard form of polynomial x²+3+6x+5x⁴

How many rational numbers can be found between two distinct rational numbers

Two circles of radii $5cm$ and $3cm$ intersect at two points and the distance between their centres is $4cm$. Find the length of common chord.

In the given figure, PQRS is a rectangle if $\angle RPQ={30}^{\circ }$. Then, the value of (x + y) is:

Diagonal AC of a parallelogram ABCD bisects angleA then show that it bisects angleC also

The region between an arc and two radii is called

If (a − b −c)² = 49 and bc −ac − ab = 12, then what is the value of the expression a² + b² + c²?

656, 432, 320, 264, 236, (?)

If AB = 12 cm, BC = 16 cm and AB BC, then radius of the circle passing through A,B and C is

If the distance between P(a, -1) and Q (5, 3) is 5 units, then a = _______.

PQRS is a trapezium in which PQ = 7 cm, PS = QR = 5 cm, RS = x cm and distance between PQ and RS is 4 cm. The area of trapezium is

1. 360

Write the constant term:

^{​​​​​} :X³+2x+1/5-7/2 x²-x⁶