Question
AB is the diameter of a circle with centre 'O'. PQ is a
chord that cuts AB at 'C'. If radius of the circle is 7.5 cm and AC:CB = 3:2, the find the length of PQ, given that PC ⊥ AB.Solution
Since, AB ⊥ PQ, PC = CQ
Let PC = 'x' cm
So, AC = 7.5 X 2 X (3/5) = 9 cm
And, CB = 15 - 9 = 6 cm
Therefore, AC X CB = PC X PQ
So, 9 X 6 = x X x
Or, x 2 Â = 54
So, x = 3√6 {Since, length cannot be negative}
So, PQ = 2x = 6√6 cm
Statements: P > R; Q > S = W < T ≥ V; R > U = Q
Conclusions:
I. Q < P
II. T > R
III. U > V
Statements: X < Y < Z = L, R = S > T, T ≥ U < V = W > X
Conclusions:
I. R > Y
II. W < L
III. S > X
Statements: D > E > G ≤ H < I; G > P > F
Conclusions:
I. D > F
II. P < I
III. D > I
Statements:
P > O ≥ D > M ≤ Y < L; M > G > Q
Conclusions:
I)Â O > Q
II) L < G
...Statements: M % C & G @ T $ D; W % M # PÂ
Conclusions :Â Â Â Â Â I. D % CÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. M % GÂ Â Â Â Â Â Â Â Â Â Â Â Â ...
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 t...
Which among the following symbols should replace the question mark [?] (in the same order from left to right) in the given expression in order to make b...
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 ...
Statements: D = E ≥ F; G > H > D; D > J = I = K
Conclusions:
I. K > D
II. F < G
III. K < H
Statements:
C < D ≤ Y = S; U > L = T; C < L = O > E
Conclusions:
I). U > E
II). T > Y
...
Relevant for Exams:
