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Given, $tan(A+B)=\sqrt{3}$ and $tan(A-B)=\frac{1}{\sqrt{3}}$



If $B<A<{90}^{\circ }$, then, find the values of A and B in degrees.

Represent -25.6875 in rational form.

1.How many pairs of adjacent angles are formed when two lines intersect in a point?

The value of
$(2x-3y{)}^3+(x+3y{)}^3+3(2x-3y{)}^2(x+3y)+3(2x-3y\left)\right(x+3y{)}^2=$

$△RST\sim △XYZ.$ In $△RST$, $RS=4.5$ cm, $\angle RST={40}^{\circ }$, $ST=5.7$ cm Construct $△RST$ and $△XYZ$, such that $\frac{RS}{XY}=\frac{3}{5}$.

1. 483

Question 5

Classify the following as constant, linear, quadratic and cubic polynomials.



(i) $2–x^2+x^3$



(ii) $3x^3$



(iii) $5t-\sqrt{7}$



(iv) $4–5y^2$



(v) $3$



(vi) $2+x$



(vii) $y^3-y$



(viii) $1+x+x^2$



(ix) $t^2$



(x) $\sqrt{2}x-1$

Question 6

Give an example of a polynomial, which is:

(i) Monomial of degree 1.

(ii) Binomial of degree 20.

(iii) Trinomial of degree 2.

Which of the following is a terminating decimal?

A right circular cylindrical tunnel of diameter 2 m and length 40 m is to be constructed from a sheet of iron. The area of the iron sheet required in $m^2$, is

(a) 40 $\pi$ (b) 80 $\pi$

(c) 160 $\pi$ (d) 200 $\pi$

Read the bar graph shown in Figure and answer the following questions:
(i) What is the information given by the bar graph?
(ii) How many tickets of Assam State Lottery were sold by the agent?
(iii) Of which state, were the maximum number of tickets sold? (iv) State whether true or false.
The maximum number of tickets sold is three times the minimum number of tickets sold
(v) Of which state were the minimum number of tickets sold?

In a quadrilateral MIST, MI = 3.5 cm, IS = 6.5 cm, $\angle M$ = ${75}^{\circ }$, $\angle I$ = ${105}^{\circ }$ and $\angle S$ = ${120}^{\circ }$. Which of the given ine segments could be drawn first to construct the quadrilateral ?

Things which concide with one another are equal to one another. Tell it's meaning with proof to it....!.?..!?..

The equation of the line shown in the graph where "x = Days" and "y = Number of vaccines produced" is

In Fig. T is a point on side QR of $\Delta PQR$ and S is a point such that RT = ST. Which of the following is true?

Match the polynomials with their respective factors.

Opposite angles of a quadrilateral $ABCD$ are equal. If $AB=4cm,$ determine CD.

If $f\left(x\right)=x^4+x^3+9x^2-8x+14,$ then $f(-1+3i)$ is equal to

1. 0.272727

The figure shows that O is the centre of the circle and XOY is a diameter. If XZ is any other chord of the circle, then

Consider the following three statements
Statement - 1: Heron’s formula is applied only for calculating the area of a triangle.
Statement - 2: If the four sides of a quadrilateral are given then its area can be calculated by using the Heron’s formula.
Statement - 3: Heron’s formula is also known as Hero’s formula.
Which of the following is true?

Find the mean of the marks obtained by 20 students in a classroom.

$\begin{array}{cc}\text{Marks}& \text{Frequency}\\ 87& 2\\ 78& 3\\ 53& 1\\ 98& 2\\ 92& 2\\ 97& 1\\ 81& 2\\ 65& 2\\ 98& 3\\ 76& 2\end{array}$