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The difference and product of two numbers is 10 and 20 respectively. Find the difference of their squares.

Zeroes of the polynomial $x^2$-4x-21 are

If an angle measures ${192}^{\circ }$, then its called a/an -

Simplify (73*73*73+27*27*27)\(73*73-73*27+27*27)

Find the area of a rhombus one site of which measures 20 cm and diagonal 24 cm

Factorise: 1) x⁴ - 14x² + 1

2) (x² - 2x)² - 23(x² - 2x) +120

the ratio of radii of two cones is 2 is to 3 and slant height is 9 is to 4 then ratio of their curved surface area is dash

If ${\log }_{a}x$ can be written as $\frac{p}{q}$. Where p and q are integer prime to each other then ${\log }_{a}x$ is _____

Area of a parallelogram is equal to

Which of the following criterions cannot establish congruence of triangles?

In $\Delta ABC$, with points P and Q on sides AB and AC, respectively such that $\frac{AP}{PB}=\frac{AQ}{QC}$. If PQ is extended to T such that PT = BC and PB = TC, then x is equal to

The shadow of a building is 100 m long when the angle of elevation of the sun is ${60}^{\circ }$. Find the height of the building.

Question 94

Solve the following:

Express $\frac{27}{64}$ and $\frac{-27}{64}$ as powers of a rational number.

The radii of two cylinders are in the ratio $2:3$ and their heights are in the ratio $5:3$ . The ratio of their volumes is

(a) $27:20$ (b) $20:27$ (c) $4:9$ (d) $9:4$

$\text{In the given figure,}AB>AC.\text{If BO and CO are the bisectors of}\angle Band\angle C\text{respectively then}\left(a\right)OB=OC\left(b\right)OB>OC\left(c\right)OB<OC$

In the adjoining figure, $\Delta ABC$ is a triangle and through A, B, C lines are drawn, parallel respectively to BC, CA and AB, intersecting at P, Q and R. Prove that the perimeter of $\Delta PQR$ is double the perimeter of $\Delta ABC$.

In the given figure, AB || CD and a transversal t cuts them at E and F respectively. If EG and FG are the bisectors of $\angle BEF$ and $\angle EFD$ respectivley, prove that $\angle EGF={90}^{\circ }$

1. 3.2

Question 2
In the given figure sides AB and AC of $\Delta$ABC are extended to points P and Q respectively. Also, $\angle PBC<\angle QCB$. Show that AC > AB.

To find the zeroes of a quadratic polynomial , should we split the middle term or should we use the identity (x+a)(x+b)=x^{​​​​​​2}​​​+(a+b)x+ab?

There is a quadrilateral made by attaching 2 congruent triangles and two of its sides are 2 and 3 units. What can the 3rd side be?

The polynomial p(x) = kx³ +9x² +4x-8 when divided by [x+3] leaves a remainder 10(1-k). find the value of k.

In the given figure ABCD is a parallelogram. F is a point on DC and FE is the median of $\Delta ABF$. If area of $\Delta AFE$ is $15c{m}^2$, then the area of parallelogram ABCD is

In the rectangle ABCD, O is any point inside the rectangle. If area( ΔAOD) = 30 $c{m}^2$ and area( ΔBOC) = 60 $c{m}^2$, area of the rectangle ABCD is

(in $c{m}^2$)

In a right angled triangle ABC, the right angle is at B. Which of the following is true about the other two angles?

How we can express $0.\overline{001}$ in the form of $\frac{p}{q}$ ,where $q\ne 0$

$P=\frac{4}{7}(Q-28)$, change the subject of the formula to Q and find the numerical coefficient of P.

$7log\left(\frac{32}{15}\right)+5log\left(\frac{25}{24}\right)+3log\left(\frac{81}{160}\right)$ is equal to

A prism with a square base of side 6 cm, is 10 cm high. The volume of the prism is :

If every pair of adjacent sides of a quadrilateral are equal, then the quadrilateral is a

Find the ratio of the curved surface areas of two cones if their diameters of the bases are equal and slant heights are in the ratio 4:3.

Zero of the polynomial p(x)=2x+5 is
(a) $\frac{-2}{5}$
(b) $\frac{-5}{2}$
(c) $\frac{2}{5}$
(d) $\frac{5}{2}$

A hollow cylindrical pipe is 210cm long. Its outer and inner diameters are 10cm and 6cm respectively. Find the volume of the copper used in making the pipe (in cubic cm).

Factorise:
$x^2+2xy+y^2-a^2+2ab-b^2$

Find the condition that the point P(x, y) may lie on the line joining (3, 4) and (-5, -6).

1. 36

$\frac{2tan{30}^{\circ }}{1+tan{}^2{30}^{\circ }}$ = _______________

A quadrilateral is a parallelogram, if pair of opposite sides are equal and __.

The tangent (tan) of an angle in a right-angled triangle is defined as