Question
Consider two concentric circles having radii 17 cm and
15 cm. What is the length (in cm) of the chord, of the bigger circle, which is a tangent to the smaller circle?Solution
Given: Radius of circles r1= 15 cm r2= 17 cm Property of tangent - A tangent is perpendicular to the center of the circle. Property of chord - A perpendicular line drawn from the center of the circle to the chord of the circle always divide the chord in half. 
Applying the property of chord and tangent: We find that- 172 = 152+(x/2)2 289 = 225 +x2 /4 289 – 225 =x2 /4 x2 =256 x=16 Therefore, length of the chord = 16 cm.
Given below an equation having four blanks you have to check from the alternatives which among the given is correct?
21 _ 51 _ 7 _ 12 _ 75
After interchanging the given two signs, what will be the value of the given equation?
X and –
64 + 15 ÷ 90 - 120 X 17
Select the correct combination of mathematical signs that can sequentially replace the “@” sign and balance the following equation.
16@5@4@2@...
If the ‘-’ and ‘×’ are interchanged, What will be the value of the following equation?
34 × 22 + 192 ÷ 12 – 8
...Which among the given operators should replace the “%” (in the same order) in the given expression below:
5 % 10 % 5 % 36 % 15 % 6
What will be the value of expression if the numbers/digits ‘(30)’ and ‘(13)’ are interchanged?
78 ÷ 30 × 6 + 13 - 14 + 12
...Select the correct combination of mathematical signs that can sequentially replace the sign * and make the equation correct.
3 * 12 * 4 * 5 * 4 * 116
Out of the total number of players, 100/3 % are in hotel X and the remaining are in hotel Y. If 20 players from hotel Y are shifted to hotel X, then the...
Which two signs need to be interchanged to make the following equation correct?
75 – 18 × 80 ÷ 16 + 40 = 125
Select the correct combination of the mathematical signs to replace the ‘@’ symbols in the below equation and thereby balance it:
81@9@5@30@1...
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