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In the given figure, PQR is a triangle and S is any point in its interior. Then which of the following options is correct?

Where does the line 6x + 5y = 9 cuts the x-axis?

The value of if (x+1) is a factor of x² + 9x + 2k is:

Factorise: (2x-3)^2-8x+12

Cofunction of secA is

Match the following according to the figure given below:

$$\begin{array}{cc}Coloumn1& Coloumn2\\ A.MajorSegment& 1.)OAQBO\\ B.MinorSegment& 2.)CFDC\\ C.MinorSector& 3.)CEDC\\ D.MajorSector& 4.)OAPBO\end{array}$$

In the given figure, AB || CD and EF || GH. Find the values of x,y, z and t.

1. 10

The number of whole numbers and integers between -2 and 3 is ___ .

If the angle bisectors of a parallelogram form another quadrilateral, then this quadrilateral will be a

In a farm, a heap of paddy is in the form of a cone with a slant height of 13m and a height of 12m. What is the area of canvas needed to protect it from sun and rain? [3 MARKS]

Given that ε R, solve the following inequality:

-1 < 3 + 4 < 23

Convert the decimal 3.4 to a fraction in its simplest form.

A square PQRS and an equilateral triangle XYZ are rearranged to form a figure as shown.

What is the perimeter of the ABDF ? (Take $\sqrt{2}$ = 1.4 and $\sqrt{3}$ = 1.7)

1. 24.4

Ted got 55 marks for all his correct answers, but his overall score was only 41, how many marks did he lose for giving wrong answers?

Volume of a cube with side 4 cm is:

In the given figure, O is the centre of the circle. PQ is a chord of the circle and R is any point on the circle. If $\angle PRQ=l$ and $\angle OPQ=m,$ then $l+m$=___.

Rubik's cube has a total surface area of 54 ${cm}^2$. The area occupied by a single red tile on Rubik's cube is ___ .

The difference between the largest and the smallest angle of the given triangle is

Solve using cross multiplication method

3x – 4y = 10 and 8x + 5y = 11

The difference between an exterior angle of a regular polygon of n-sides with a regular polygon of (n + 2) sides is 6^o. The value of n is

A cubical tank has an edge equal to 6 m. The amount of water it will contain when it is one-third filled is

Any rational number x in the form p/q (where p and q are co primes), whose decimal expression terminates. Which of the following represents the correct form of prime factorisation of q?

By knowing the base and __ of a triangle we can calculate the area of the triangle.

Show that the point (3,1) does not lie on the line 3x + 4y = 16.

In the given figure, if the area of one rectangle is 1 $c{m}^2$, then what is the area of the shaded region?

In the given figure, O is the centre of a circle. AB and CD are its two chords. If OM $\perp$ AB and ON $\perp$ CD and OM = ON, then

Thinking process
(i) Firstly, check whether any coordinate of the given point is zero or not.
(a) If x-coordinate is zero and y-coordinate is non-zero, then the point lies on the y-axis.
(b) If y-coordinate is zero and x-coordinate is non-zero, then the point lies on the x-axis.
(c) If x-coordinate and y-coordinate are zero, the point lies on the origin ( or on both the axes.)
(ii) If none of the coordinates is zero, then the point lies in any one of the four quadrants.

A) On the x-axis
B) In the second quadrant
C) On the y-axis
D) In the fourth quadrant

In a right angled triangle, if AB=3 cm, BC=4 cm then what is the value of cos A?

Let R be a relation on the set N be defined by {(x, y)| x, y Î N, 2x + y = 41}. Then R is

The range of the function $f\left(x\right)=\frac{x+3}{|x+3|},x\ne -3$ is

Question 9 (iv)
Classify 7.478478....... as rational or irrational.

The height of the building is 100$\sqrt{3}$ft, What is the angle of elevation from a point on the level ground 100ft away from the base of the building?

The length of the curve given in red is given by :

In the figure, if $\angle OAB={40}^{\circ }$, $\angle ACB$ is equal to

Find the value of $3^2\times 3^{-5}$.

In the given figure, AB = 5cm, BC = 4cm, AC = 3cm. What is the diameter of the circle?​

Express the following mixed surd in the form of a pure surd.

$5\sqrt{10}$

$0.3\overline{2}$ when expressed in the form $\frac{p}{q}$ (p, q are integers $q\ne 0$), is

ABC is a triangle and through A, B, C lines are drawn parallel to BC, CA and AB respectively interesting at P, Q and R. Then the perimeter of ∆PQR is

In figure, C is mid-point of the segment AB, P and Q are mid-point of the segments AC and BC respectively. Prove that AP = BQ = AB/4

Show that the sum of the three altitudes of a triangle is less than the sum of three sides of the triangle. [4 MARKS]

Question 37

If amount on the principal of Rs 6000 is written as $6000{(1+\frac{5}{100})}^3$ and compound interest payable half-yearly, then rate of interest per annum is ___ and time (in years) is ___.