Question
For the following statments state whether true (T) or false(F):
Two circles with different radii are similar.

Answer

True.
Solution:
Similar figures have the same shape but need not have the same size.
Since all circles irrespective of the radii will have the same shape, all be similar.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

From the following frequency distribution, prepare the 'More Then Ogive'.
Score
Number of candidates
400-450
20
450-500
35
500-550
40
550-600
32
600-650
24
650-700
27
700-750
18
750-800
24
Total
230
Also find the median.
Find the roots of the following equation, if they exist, by applying the quadratic formula:$12abx^2 - (9a^2 - 8b^2)x - 6ab = 0,$ where $ \text{a}\neq0$ and $\text{b}\neq0$
If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then prove that the other two sides are divided in the same ratio.
In the figures given below, an altitude is drawn to the hypotenuse by a right-angled triangle. The length of different line-segment are marked in figure. Determine x, y, z in case.
A tree standing on a horizontal plane is leaning towards east. At two points situated at distances a and b exactly due west on it, the angles of elevation of the top are respectively $\alpha$ and $\beta.$ Prove that the height of the top from the ground is, $\frac{(\text{b}-\text{a})\tan\alpha\tan\beta}{\tan\alpha-\tan\beta}.$
Form the pair of linear equations in the following problems, and find their solution graphically:
10 students of class X took part in Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.
A regular hexagon is inscribed in a circle. If the area of hexagon is $24\sqrt{3}\text{cm}^2,$ find the area of the circle. $\big(\text{Use }\pi=3.14\big)$
Prove the following.
$\frac{\sin\theta}{1+\cos\theta}+\frac{1+\cos\theta}{\sin\theta}=2\text{cosec}\theta$
A sailor goes 8km downstream in 40 minutes and returns in 1 hours. Determine the speed of the sailor in still water and the speed of the current.
A solid is consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm. It is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.