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Factorize: $75(a+b{)}^2-48(a-b{)}^2$.

The index of the matrix A -
Where $A=\left[\begin{array}{cc}2& 4\\ -1& -2\end{array}\right]$___

If x+y=5 and xy=6, then find x³-y³ (x>y) [4marks]

Raghu drove for 3 hours at a rate of 50 kilometer per hour and for 2 hours at 60 kilometer per hour. Determine his average speed for the whole journey.

If (2x+5) is a factor of 2x^2-5 , find the value of x.

Factorise the polynomial $8a^3-27b^3-64c^3-72abc$

In the word ‘antagonist,’ the prefix ‘ant’ means

Add: $11x^2-8x+4$ and $6x^2+7x-10$.

Question 5
A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the curved surface of the pillar at the rate of Rs. 12.50 per $m^2.[Assume\pi =\frac{22}{7}]$

Is a parallelogram a trapezium ? If yes or no give reason.

Two lines l and m are perpendicular to the same line n. Are l and m parellel to each other. Explain it briefly

ABCD is a rhombus with diagonals AC and BD.
$\text{The value of}p+q+r+s+t\text{is}$ .

The sum of interior angles of a quadrilateral is.

In the polynomial there is subtitle know as remainder theorem in remainder theorem the graphical representation making some doubt in mind that how to represent that in graph

Log(81)+log(243)=a log3 ,then a=

P and Q are points on intersection of two circles with centre O and O'. If straight line APB and CQD are parallel to OO' then AB = ___

Statements: H > I > J > K; L > M < K

Conclusions:
I. I > M
II. L < H

Question 1(a)
Find the following product:
3 $\times$ (-1)

In the following figure, if OQ is angle bisector of $\angle$POA, then $\angle$POQ is equal to ___.

If x+a is a factor of x^2+px+q and x^2+px +q then prove that a=n-q/m-p

What is point C called with respect to lines AC, BC and DC?

A dice is rolled and the outcomes are observed. Event A is an even number turns up and event B is a prime number turns up. Match the events on left with the outcomes on right.

$\begin{array}{cc}1.\text{Event A or B}& P.\{4,6\}\\ 2.\text{Event A and B}& Q.\left\{2\right\}\\ 3.\text{Event A but not B}& R.\{2,3,4,5,6,\}\\ 4.\text{Complementary event of B}& S.\{1,4,6\}\end{array}$

The expansion of ($2x+2y-z{)}^2$ is ______.

If $x=\sqrt{2}-1(x-\frac{1}{x}{)}^3$ = ______

Given ABE is a straight line.

Find angle y.

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

If $\frac{p}{q}=\frac{x+3}{x-3^{\prime }}$ then what is the value of $\frac{p^2+q^2}{p^2-q^2}?$

In the given figure, P and Q are centres of the circles intersecting at B and D. O is the midpoint of PQ. Given angle ABO = 90⁰ find AB = ?

In fig. TQ and TR are bisectors of $\angle$Q and $\angle$R respectively. If $\angle$QPR = ${80}^{\circ }$ and $\angle$PRT = ${30}^{\circ }$. Determine $\angle$TQR. [4 MARKS]

Money is

If $A=\{2,4,6,8,10,12\},B=\{4,6,8\}$ and $C=\{4,6\}$, then which of the following statements are correct?

What are the possible locations of the orthocentre of a triangle?

Cube of 45 is

A right triangle has two sides of length 1 m each. Which one of the following is true about the length of the hypotenuse?

If the numerator of a fraction is decreased by 2 and its denominator is decreased by 4, the value of the fraction remains the same. Find the fraction.

In a quadrilateral ABCD, $\angle A={90}^{\circ }$, $\angle B=3x$, $\angle C=3x+5$, $\angle D=8x-15$.
Then, the value of $\angle D$ is

Square prism is also known as__________.

Which of the following fractions can be expressed as non-recurring decimals?