Q. Reflect points B, C, D on the y-axis and write down their coordinates. Name the images as B', C', D' respectively.

Q. If $b$ is the mean proportion between $a$ and $c$, show that.
$\frac{a^4+a^2{b}^2+b^4}{b^4+b^2{c}^2+c^4}=\frac{a^2}{c^2}$

Q. $\frac{m^2+n^2}{m^2-n^2}$.

Q. $P(1,-2)$ is a point on the line segment $A(3,-6)$ and $B(x,y)$ such that AP$:$PB is equal to $2:3$. Find the coordinates of B.

Q. Jaya borrowed Rs. $50,000$ for $2$ years. The rates of interest for two successive years are $12\%$ and $15\%$ respectively. She repays Rs. $33,000$ at the end of the first year. Find the amount she must pay at the end of the second year to clear her debt.

Q. Construct the locus of point equidistant from $BA$ and $BC$. Hence construct a circle touching the three sides of the triangle internally.

Q. Evaluate without using trigonometric tables:

Q. Plot the following points. $A(0,4),B(2,3),C(1,1)$ and $D(2,0)$.

Q. How much should a man invest in Rs. $50$ shares selling at Rs. $60$ to obtain an income of Rs. $450$, if the rate of dividend declared is $10\%$. Also find his yield percent, to the nearest whole number.

Q. Sixteen cards are labelled as a, b, c, ......m, n, o, p. They are put in a box and shuffled. A boy is asked to draw a card from the box. What is the probability that the card drawn has :A consonant.

Q. A conical tent is to accommodate $77$ persons. Each person must have $16m^3$ of air to breathe. Given the radius of the tent as $7$m find the height of the tent and also its curved surface area.

Q. Solve the equation $4x^2-5x-3=0$.

Q. Sixteen cards are labelled as a, b, c, ......m, n, o, p. They are put in a box and shuffled. A boy is asked to draw a card from the box. What is the probability that the card drawn has :None of the letters of the word median.

Q. A page from a savings bank account passbook is given.

Date	Particulars	Amount Withdrawn(Rs.)	Amount Deposited(RS.)	Balance(Rs.)
Jan. $7,2016$	B/F			$3000.00$
Jan $10,2016$	By Cheque		$2600.00$	$5600.00$
Feb. $8,2016$	To self	$1500.00$		$4100.00$
Apr. $6,2016$	By Cheque	$2100.00$		$2000.00$
May $4,2016$	By Cash		$6500.00$	$8500.00$
May $27,2016$	By Cheque		$1500.00$	$10000.00$

(I) Calculate the interest for the $6$months from January to June $2016$, at $6\%$ per annum.
(II) If the account is closed on $1^{st}$ July $2016$, find the amount received by the account holder.

Q. Find the VAT paid by the shopkeeper to the government.

Q. The total price to be paid by the customer for the computer set.

Q. What must be subtracted from $16x^3-8x^2-4x+7$ so that the resulting expression has $2x+1$ as a factor?

Q. AB and CD are two parallel chords of a circle such that AB$=24$cm and CD$=10$cm. If the radius of the circle is $13$cm, find the distance between the two chords.

Q. A vowel.

Q. In the given figure PQ is a tangent to the circle at A. AB and AD are bisectors of $\angle$CAQ and $\angle$PAC. If $\angle$BAQ$={30}^o$, prove that.
(I) BD is a diameter of the circle.
(II) ABC is an isosceles triangle.

Q. Given matrix $B=\left[\begin{array}{cc}1& 1\\ 8& 3\end{array}\right]$. Find the matrix X if, $X=B^2-4B$. Hence solve for a and b given $X\left[\begin{array}{c}a\\ b\end{array}\right]=\left[\begin{array}{c}5\\ 50\end{array}\right]$.

Q. Calculate the mean of the following distribution using step deviation method.

Marks	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Number of Students	$10$	$9$	$25$	$30$	$16$	$10$

Q. Solve the following inequation and represent the solution set on a number line.
$-8\frac{1}{2}<-\frac{1}{2}-4x\le 7\frac{1}{2},xϵ1$.

Q. $m:n$

Q. Find the amount of sales tax a customer has to pay.

Q. In the given figure ABCD is a rectangle. It consists of a circle and two semi circles each of which are of radius $5$cm. Find the area of the shaded region. Give your answer correct to three significant figures.

Q. Join the points A, B, C, D, D', C', B' and A in order, so as to form a closed figure. Write down the equation of the line of symmetry of the figure formed.

Q. If $A=\left[\begin{array}{cc}1& 3\\ 3& 4\end{array}\right]$ and $B=\left[\begin{array}{cc}-2& 1\\ -3& 2\end{array}\right]$ and $5A^2-B^2=5C$. Find matrix C where C is a $2$ by $2$ matrix.

Q. Construct the locus of point equidistant from $AB$ and $AC$. Hence construct a circle touching the three sides of the triangle internally.

Q. The marks of $10$ students of a class in an examination arranged in ascending order is as follow. $13,35,47,46,x,x+4,55,61,71,80$.
If the median marks is $48$, find the value of $x$. Hence find the mode of the given data.