Question 1 :
A chord of a circle of radius 15 cm subtends an angle of $60^{\circ}$ at the centre. Find the area of the corresponding major segment of the circle. (Use $\pi$= 3.14 and $\sqrt{3}$ = 1.73)

Question 2 :
A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding minor segment.(Use $\pi$ =3.14)

Question 3 :
The diameters of front and rear wheels of a tractor are 80 cm and 2 m respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions.

Question 4 :
The radii of two circless are 19 cm and 9 cm, respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circless.

Question 5 :
Find the difference of the areas of two segments of a circle formed by a chord of length 5 cm subtending an angle of $90^{\circ}$ at the centre.

Question 6 :
If the perimeter of a circle is equal to that of a square, then the ratio of their areas is

Question 7 :
If the circumference of a circle and perimeter of a square are equal, then

Question 8 :
It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be

Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bad273b2305849799f2.png' /> The above image depicts an archery target marked with its five scoring regions from the centre outwards as Gold, Red, Blue, Black and White. The diameter of the region representing Gold score is 21 cm and each of the other bands is 10.5 cm wide. Find the area of the red scoring region.

Question 10 :
The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.

Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b57273b230584979982.PNG' /> In the above figure, students of a school standing in rows and columns in their playground for a drill practice are shown. A, B, C and D are the positions of four students as shown in figure. Is it possible to place Jaspal in the drill in such a way that he is equidistant from each of the four students A, B, C and D? If so, what should be his position?

Question 12 :
The point which lies on the perpendicular bisector of the line segment joining the points A (–2, –5) and B (2, 5) is :

Question 13 :
If P (9a – 2, –b) divides line segment joining A (3a + 1, –3) and B (8a, 5) in the ratio 3 : 1, find the value of a.

Question 14 :
Find the values of y for which the distance between the points P(2, – 3) and Q(10, y) is 10 units.

Question 15 :
If A and B are $\left(– 2, – 2\right)$ and $\left(2, – 4\right)$, respectively, find the coordinates of P such that AP = $\frac{3}{7}$ AB and P lies on the line segment AB.

Question 16 :
The distance between the points (0, 5) and (–5, 0) is :

Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bd8273b230584979a2a.png ' /> The Class X students of a secondary school in Krishinagar have been allotted a rectangular plot of land for their gardening activity. Sapling of Gulmohar are planted on the boundary at a distance of 1m from each other. There is a triangular grassy lawn in the plot as shown in the above image. The students are to sow seeds of flowering plants on the remaining area of the plot.What will be the area of ∆PQR if A is the Origin?

Question 18 :
Find the distance between the following pair of points: (-5,7) , (-1,3).

Question 19 :
Name the type of quadrilateral formed by the points $\left(–3, 5\right)$, $\left(3, 1\right)$, $\left(0, 3\right)$ and $\left(–1, – 4\right)$.

Question 20 :
The vertices of a ∆ABC are A $\left(4, 6\right)$, B $\left(1, 5\right)$ and C $\left(7, 2\right)$. A line is drawn to intersect sides AB and AC at D and E respectively, such that $\frac{AD}{AB}$=$\frac{AE}{AC}$=$\frac{1}{4}$. Calculate the area of triangle ADE.

Question 21 :
Is it TRUE or FALSE, that the tangent to the circumcircle of an isosceles triangle ABC at A, in which AB = AC, is parallel to BC?

Question 22 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bcd273b230584979a1c.JPG' /> The above image shows that a circle and two lines parallel to a given line AB is such that one is a tangent and the other , a secant to a circle , i.e , the line CD is the tangent at point M while the line EF is the secant . Is this statement true ?

Question 24 :
Do the centre of a circle touching two intersecting lines lies on the angle bisector of the lines?

Question 25 :
A line and a circle in the same plane can co-exist in _______ different ways.

Question 26 :
If an isosceles triangle ABC, in which AB = AC = 6 cm, is inscribed in a circle of radius 9 cm, what is the area of the triangle?

Question 27 :
The opposite sides of a quadrilateral circumscribing a circle subtend ________ angles at the centre of the circle.

Question 28 :
If angle between two radii of a circle is $130^{\circ}$, the angle between the tangents at the ends of the radii is :

Question 29 :
At any point on a circle there can be one and only one tangent . TRUE OR FALSE?

Question 30 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b43273b230584979966.PNG' /> In the above figure, AB is a chord of the circle and AOC is its diameter such that $\angle ACB = 50^{\circ}$. If AT is the tangent to the circle at the point A, then $\angle BAT$ is equal to