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SSLC APLUS GENIUS QUESTION PAPERS

MATHEMATICS | MOST PREDICTED QUESTIONS


CHAPTER 7
Tangents


1 / 66

A ladder leans against a wall such that the top of the ladder is 12 units above the ground and the base of the ladder is 5 units from the wall. What is the length of the ladder?

2 / 66

If the distance between the centers of two circles is equal to the sum of their radii, the circles are ____.

3 / 66

The common tangent to two circles that does not intersect the line segment joining their centers is called ____.

4 / 66

A circle has a radius of 7 units. Calculate the length of a tangent from a point 25 units away from the center.

5 / 66

A line that touches a circle at exactly one point is called a ____.

6 / 66

In a cyclic quadrilateral, the sum of opposite angles is ____.

7 / 66

If the distance between the centers of two circles is equal to the difference of their radii, the circles are ____.

8 / 66

A line touches a circle at exactly one point. This line is called a ____.

9 / 66

If the radius of a circle is 5 units, what is the length of a tangent from a point 13 units away from the center?

10 / 66

The angle subtended by a chord at the center of a circle is called ____.

11 / 66

If a wheel of a bicycle touches the ground at a point and the distance from the center of the wheel to the point of contact is 70 cm, what is this distance called?

12 / 66

In a right triangle, the circle that is tangent to all three sides is called ____.

13 / 66

A flagpole is 10 units tall. If a person standing 24 units away from the base of the flagpole observes the top of the pole, what is the length of the hypotenuse formed?

14 / 66

In a circle, the tangent at any point is perpendicular to ____.

15 / 66

The length of the tangent from a point 10 units away from the center of a circle is 6 units. What is the radius of the circle?

16 / 66

A watchtower is 20 units high. If a person stands 21 units away from the base of the watchtower, what is the length of the hypotenuse formed between the top of the watchtower and the person?

17 / 66

If two tangents are drawn to a circle from an external point, then ____.

18 / 66

A tree 9 units tall casts a shadow of 12 units. What is the length of the hypotenuse formed?

19 / 66

If two tangents are drawn to a circle from an external point P, and the points of tangency are A and B, then the angle APB is ____.

20 / 66

A circle has a radius of 9 units. Calculate the length of a tangent from a point 15 units away from the center.

21 / 66

A statue 10 units tall casts a shadow of 7 units. What is the distance from the top of the statue to the tip of the shadow?

22 / 66

If the lengths of two tangents drawn from an external point to a circle are 9 units and 12 units, what can be concluded about the point?

23 / 66

The angle between a tangent and a radius at the point of tangency is always ____.

24 / 66

In a cyclic quadrilateral, the sum of the measures of the opposite angles is ____.

25 / 66

The point where a tangent touches a circle is called the ____.

26 / 66

The perpendicular drawn from the center of a circle to a chord ____.

27 / 66

In a right triangle inscribed in a circle with one side as the diameter, what is the measure of the angle opposite to the diameter?

28 / 66

The distance from a point outside the circle to the point of tangency can be found using the ____.

29 / 66

If two tangents are drawn from an external point to a circle, then the angle between the two tangents is equal to ____.

30 / 66

The length of a tangent from a point 13 units away from the center of a circle is 12 units. What is the radius of the circle?

31 / 66

A circle has a radius of 11 units. Calculate the length of a tangent from a point 15 units away from the center.

32 / 66

A billboard is 15 units high. If a person stands 20 units away from the base of the billboard, what is the length of the hypotenuse formed between the top of the billboard and the person?

33 / 66

Find the length of the tangent from a point 10 units away from the center of a circle with a radius of 6 units.

34 / 66

The line segment that touches a circle at one endpoint and extends outside the circle is called ____.

35 / 66

A ladder 16 units long is placed against a wall such that its base is 12 units away from the wall. How high does the ladder reach on the wall?

36 / 66

A circle is described with center O and radius r. If P is an external point, and PA and PB are tangents from P to the circle, then the triangle PAB is ____.

37 / 66

If two circles touch each other externally, the distance between their centers is equal to ____.

38 / 66

In a cyclic quadrilateral, the product of the lengths of its diagonals is equal to ____.

39 / 66

A tangent to a circle forms a 30° angle with a chord that it intersects. The angle subtended by the chord at the center of the circle is ____.

40 / 66

A pole 12 units tall casts a shadow of 5 units. What is the distance from the top of the pole to the tip of the shadow?

41 / 66

If the radius of a circle is doubled, the length of the tangent from an external point to the circle ____.

42 / 66

The circle that passes through all the vertices of a polygon is called ____.

43 / 66

A circle is inscribed in a triangle if ____.

44 / 66

The distance between the centers of two circles is 17 units. If the radii of the circles are 10 units and 7 units respectively, find the length of the common external tangent.

45 / 66

A vertical wall is 8 units high and casts a shadow of 6 units on the ground. What is the distance from the top of the wall to the tip of the shadow?

46 / 66

The common tangent to two circles that does not intersect the line segment joining their centers is called ____.

47 / 66

If two tangents are drawn to a circle from an external point, the tangents are ____.

48 / 66

A person stands 12 units away from the base of a lighthouse. If the lighthouse is 20 units tall, what is the length of the shadow cast by the lighthouse on the ground?

49 / 66

A tree casts a shadow of 15 units on the ground. If the tree is 9 units tall and the angle of elevation of the sun is 45 degrees, what is the distance from the top of the tree to the tip of the shadow?

50 / 66

The point where a tangent touches a circle is called the ____.

51 / 66

A water tank casts a shadow of 9 units when the height of the tank is 12 units. What is the distance from the top of the tank to the tip of the shadow?

52 / 66

A building 18 units high casts a shadow of 24 units. What is the distance from the top of the building to the tip of the shadow?

53 / 66

A circle is circumscribed about a quadrilateral if ____.

54 / 66

A flagpole 15 units high casts a shadow of 20 units. What is the distance from the top of the flagpole to the tip of the shadow?

55 / 66

A car tire touches the ground at a single point. This point is known as the ____.

56 / 66

The angle between a tangent and a radius at the point of tangency is ____.

57 / 66

A building casts a shadow of 30 units on the ground. If the height of the building is 18 units, what is the distance from the top of the building to the tip of the shadow?

58 / 66

The length of the tangent from a point outside the circle to the point of tangency is called the ____.

59 / 66

A triangle inscribed in a circle such that one of its sides is the diameter of the circle is called ____.

60 / 66

In a circle, the radius to the point of tangency is always ____.

61 / 66

The distance between the centers of two circles is 20 units. If the radii of the circles are 12 units and 8 units respectively, find the length of the common external tangent.

62 / 66

A ladder 20 units long is placed against a wall such that its base is 16 units away from the wall. How high does the ladder reach on the wall?

63 / 66

A lamppost 14 units tall casts a shadow of 21 units. What is the distance from the top of the lamppost to the tip of the shadow?

64 / 66

A tree of height 10 units casts a shadow of 24 units. Find the distance from the top of the tree to the tip of the shadow.

65 / 66

A statue is 7 units tall and casts a shadow of 24 units on the ground. What is the distance from the top of the statue to the tip of the shadow?

66 / 66

The length of a tangent from a point 5 units away from the center of a circle is 4 units. What is the radius of the circle?

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