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Question 1
Which one of the following is a polynomial?

A) $\frac{x^2}{2}-\frac{2}{x^2}$
B) $\sqrt{2x}-1$
C) $x^2+\frac{3x^{\frac{3}{2}}}{\sqrt{x}}$
D) $\frac{x-1}{x+1}$

If A: B: C = 3: 2: 1, where A, B, and C are angles of a triangle, then the value of the expression cot B - cosec C is.

P is point lying outside a cicle. 3 lines are drawn from P to the cicle so that they intersect the circle at 6 points as shown in the figure.

$P_1,P_2,P_3$ are points formed by intersections of tangents at A and B, C and D and E and F respectively.

1. 329

A producer blends two varieties of tea from two different tea gardens. One costing is Rs. 15/kg and another costing Rs. 20 /kg in the ratio of 7: 3. He sells the blended variety at Rs. 18.15/ kg. Determine his profit/ loss %.

How many hours are required by A and B to finish creating 110 documents if they are working together. given :in 6 hour to create 32 documents we need 5 hours to create 40 documents.

Find p(0) if p (y) = y² - y + 1

Find the value of $\sqrt[5]{516}\times \sqrt[5]{52}$.

Find x , when 5^x-2 * 3^x-3 = 135

If (x-1) is a factor of $x^4+x^3-2x^2+x+1$. Find the other factor using the factor theorem.

Question 9
A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows:
$\begin{array}{cccccccc}2.6& 3.0& 3.7& 3.2& 2.2& 4.1& 3.5& 4.5\\ 3.5& 2.3& 3.2& 3.4& 3.8& 3.2& 4.6& 3.7\\ 2.5& 4.4& 3.4& 3.3& 2.9& 3.0& 4.3& 2.8\\ 3.5& 3.2& 3.9& 3.2& 3.2& 3.1& 3.7& 3.4\\ 4.6& 3.8& 3.2& 2.6& 3.5& 4.2& 2.9& 3.6\end{array}$
Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the intervals 2−2.5.

Question 3(e)
Fill in the blanks:
___ $÷$ 1 = - 87

1. 50000

The point of concurrence of the three angle bisectors of a triangle, is called

(x+a) is a factor of $x^n$+$a^n$ for

In $△$ NVY, ∠NVY = $\angle$VYN + $\angle$VNY. Which of the following is true?

The volume of a right circular cone with height 3.5 cm and base radius 3 cm is

The remainder of the polynomial P(x) = 3$x^2$ + 5x + 8, when divided by x + 2 is

ABCD is a parallelogram. DK is perpendicular to BA produced at K and DM is perpendicular to BC produced at M. Find the measure of $\angle KDM.$

Two isosceles triangles are on opposite sides of a common base, then by which criterion can we say ΔABD ≅ ΔACD?

Which of the following is incorrect?

If two figures have same area, they must be ___.

In a right angled $△$ABC, right angled at B, which of the following is true?

If ‘p’ and ‘q’ are the zeroes of the polynomial P(x) = $x^2$ + ax + b =0, then P(x) can be written as

In triangles ABC and DEF, it is given that AB = DF, BC = DE and CA=EF.

Which of the following is true?

The value of $\sqrt[3]{3729}\times \sqrt[3]{364}$ is

$\text{If}sin\theta =\frac{1}{2}$
and $\theta$ is an acute angle, then find the value of $(3cos\theta -4co{s}^3\theta )?$

Tap on the region representing cyclic quadrilaterals.

In a circus, a motorcyclist performs his stunts inside a hollow sphere. The thickness of the sphere is negligible. If the diameter of the hollow sphere is 14 m, then find the area available for the motorcyclist to perform his stunts.
$(use\pi =\frac{22}{7})$

Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find the coordinate of the point R such that PQRS is a square.
[4 MARKS]

If $sec5A=cosec(A-30)$, then the value of $A$ is ___.

In the given figure, if $\angle AOC$ and $\angle BOC$ are in ratio 2 : 3, find $\angle AOC$, $\angle COB$, $\angle BOD$ and $\angle AOD$.

2√5 + √125 = ?

Question 4 (v)
Find the values of p and q for the following pair of equations 2x + 3y = 7 and 2px + py = 28 – qy, if the pair of equations has infinitely many solutions.

In the figure below PR is the perpendicular bisector of a line $AB=16cm$ then which of the following is true?

If the radius of a cylinder is reduced by 50 $\%$, then the volume of the cylinder will get reduced by
( Take $\pi =\frac{22}{7}$ )

The figure given below shows a circle with centre O in which diameter AB bisects the chord CD at point E . If CD =16 cm and EB = 4 cm, then find the radius of the circle.

What is the perpendicular distance of the point Q (5,7) from y-axis?