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.
Statements:
A ≤ Z < X < I; L > P > C > B = I;
Conclusions:
I) Z > L
II) B > A
In the question, assume the given statements to be true. Find which of the following conclusion(s) among the three conclusions is/ are definitely true ...
In the question assuming the given statements to be true, find which of the conclusion(s) among given three conclusions is/are definitely true and then...
Statement: I ≤ S, S < X, X = F, F ≤ K
Conclusion: I. K > I II. I < X
Statements : M > J = L > O > I ≤ H < Q = N
Conclusions :
I. I > M
II. N > I
III. L < Q
Statements: V = W ≤ X > R ≥ O; C < O; F = X
Conclusion: I. F > R II. X > C
Statements: N & C, C # I, I @ L, L % Y
Conclusions: I.   C & Y                   II. L # N
...Statements: V ≤R = W ≥ Q, U = T ≥ S < X, U < Q
Conclusions: I. S < W II. V ≥ X
Statements:Â Â Â Â Â Â A @ D % M % N; M $ P $ Q
Conclusions :     I. D % Q                              I...
Statement: F < G < H ≥ J; F ≥ K > L
Conclusion:
I. H > L
II. H = L
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