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Question 1 of 25
1. Question
A draw a pair of tangents to a circle which are inclined to each other at an angle of 65°, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is:
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Question 2 of 25
2. Question
Length of the tangent to a circle from a point 26 cm away from the centre is 24 cm. What is the radius of the circle?
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Question 3 of 25
3. Question
A line segment drawn perpendicular from the vertex of a triangle to the opposite side is called the
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Question 4 of 25
4. Question
To construct a triangle similar to given ΔABC with its sides \(\frac { 3 }{ 7 }\) of the corresponding sides of ΔABC, first draw a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B1, B2, B3, on BX equal distance and next step is to join :
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Question 5 of 25
5. Question
To divide a line segment AB in the ration 4 : 7, a ray AX is drawn first such that ∠BAX is an acute angle and then points A1, A2, A3,… are located at equal distances on the ray AX and the point B is joined to :
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Question 6 of 25
6. Question
To draw a pair of tangents to a circle which are inclined to each other at an angle of 45° it is required to draw tangents at the end point of those two radii of the circle, the angle between which is :
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Question 7 of 25
7. Question
To divide a line segment AB in the ratio 5 : 6 draw a ray AX such that ∠BAX is an acute angle, then draw a ray BY parallel to AX and the points A_(1 ,) A_(2 ,) A_(3 ,) … and B_(1 ,) B_(2 ,) B_(3 ,)… are located a equal distances on ray AX and BY, respectively, Then the points joined are :
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Question 8 of 25
8. Question
PT and PS are tangents drawn to a circle, with centre C, from a point P. If ∠TPS = 50°, then the measure of ∠TCS is
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Question 9 of 25
9. Question
To construct a triangle similar to given ΔABC with its sides 8585 of the corresponding sides of ΔABC, draw a ray BX such that ∠CBX is an acute angle and X is one the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is :
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Question 10 of 25
10. Question
To divide a line segment AB in the ratio 5 : 7, first a ray AX is drawn so that ∠BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is:
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Question 11 of 25
11. Question
To divide a line segment AB in the ratio 4 : 7, a ray AX is drawn first such that ∠BAX is an acute angle and then points A1, A2, A3, … are located at equal distances on the ray AX and the point B is joined to
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Question 12 of 25
12. Question
If two tangents are drawn at the end points of two radii of a circle which are inclined at 120° to each other, then the pair of tangents will be inclined to each other at an angle of
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Question 13 of 25
13. Question
To draw a pair of tangents to a circle which are inclined to each other at angle x°, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is
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Question 14 of 25
14. Question
To draw a pair of tangents to circle which are inclined to each other at angle of 60°, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be :
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Question 15 of 25
15. Question
A point O is at a distance of 10 cm from the centre of a circle of radius 6 cm. How many tangents can be drawn from point O to the circle?
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Question 16 of 25
16. Question
A point O is at a distance of 10 cm from the centre of a circle of radius 6 cm. How many tangents can be drawn from point O to the circle?
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Question 17 of 25
17. Question
To divide line segment AB in the ratio A : b ( a, b are positive integers), draw a ray AX so that ∠BAX is an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is
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Question 18 of 25
18. Question
In division of a line segment AB, any ray AX making angle with AB is
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Question 19 of 25
19. Question
Which theorem criterion we are using in giving the just the justification of the division of a line segment by usual method ?
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Question 20 of 25
20. Question
To divide a line segment AB in the ratio p : q ( p, q are positive integers), draw a ray AX so that ∠BAX s an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is :
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Question 21 of 25
21. Question
When a line segment is divided in the ratio 2 : 3, how many parts is it divided into?
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Question 22 of 25
22. Question
22. To divide a line segment PQ in the ratio 5 : 7, first a ray PX is drawn so that ∠QPX is an acute angle and then at equal distances points are marked on the ray PX such that the minimum number of these points is
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Question 23 of 25
23. Question
23. To divide a line segment AB in the ratio 4 : 7, a ray AX is drawn first such that ∠BAX is an acute angle and then points A1 A2 A3, … are located at equal distances on the ray AX and the point B is joined to
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Question 24 of 25
24. Question
24. To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°, it is required to draw tangents at the endpoints of those two radii of the circle, the angle between which is
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Question 25 of 25
25. Question
25. When a line segment is divided in the ratio 2 : 3, how many parts is it divided into?
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