RRB NTPC Mains or Stage 2 Model Paper 3 with solutions

Question : 10 of 120

Marks: +1, -0

Two circles of radii 4 cm and 9 cm respectively touch each other externally at a point and a common tangent touches them at the point P and Q respectively. Then the area of a square with one side PQ, is

97 sq. cm
194 sq. cm
72 sq. cm
144 sq. cm

Validate

Solution:

R_1 + R_2 = 13

R_2 – R_1 = 9 – 4 = 5

PQ = √{(AB)^2- (R_2 R_1)^2}

PQ = √{13^2 - 5^2} = 12 cm

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