The State Disaster Response Fund or SDRF is the primary fund available with the state governments of India to respond to disasters in the... View Article
UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 5th May 2021. Important news and views to boost... View Article
1) 1 cm 2) √3 cm 3) 2 cm 4) 2√3 cm Solution: Given side = 2√3 Radius of circumcircle of equilateral triangle = side/√3 = 2√3/√3 = 2 Hence... View Article
1) 4 2) 1 3) 2 4) 3 Solution: Given r1 = 2 r2 = 3 and r3 = 6 We have r1 = ∆/(s - a) 2 = ∆/(s - a) => s = a + ∆/2 …(i) Similarly s = b +... View Article
1) is tan-1 (1/2) 2) is tan-1 (9/40) 3) cannot be evaluated 4) is tan-1 (1/9) Solution: Given a = 5, b = 4, A = π/2 + B We know tan ((A -... View Article
If ∆ = a2 - (b - c)2, where ∆ is the area of ∆ABC, then tan A is equal to 1) 15/16 2) 8/17 3) 8/15 4) 1/2 Solution: Given ∆ = a2 - (b - c)2... View Article
1) π/2 2) π/4 3) tan-1 3 4) none of these Solution: Given angles are tan-12 and tan-1 3. Let 3rd angle b x So x + tan-1 2 + tan-1 3 = π x +... View Article
1) 4 : 3 2) 5 : 3 3) 3 : 4 4) 3 : 5 Solution: Given sin A : sin B : sin C = 3 : 4 : 5 Let sin A = 3x, sin B = 4x, sin C = 5x By sine rule... View Article
1) 1 : sin 10o 2) 1 : 2 sin 100 3) 1 : cos 10o 4) 1 : 2 cos 10o Solution: Given the angles of a triangle are in the ratio 3 : 5 : 10. Let A... View Article
1) 4 sq units 2) 1/2 sq units 3) √3/2 sq units 4) √3 sq units Solution: Given a = 1, b = 2, ∠C = 60o We know area of ∆ ABC = ½ ab sin C = ½... View Article
1) equilateral 2) right angled 3) isosceles 4) scalene Solution: Given b + c = 2a Using sine rule k sin B + k sin C = 2k sin A sin B + sin C... View Article
1) √3/2 2) 1/2 3) 1/√2 4) - (1/√2) Solution: Given a = 15, b = 36, c = 39 We know sin (C/2) = √((s-a)(s-b)/ab) Here s = (a + b + c)/2 = (15... View Article
(1) 1/5 (2) 5/7 (3) 19/35 (4) none of these Solution: Let (b + c)/11 = (c + a)/12 = (a + b)/13 = x b + c = 11 x, c + a = 12 x, a + b = 13x... View Article
(1) 2c cot C/2 (2) 2a cot A/2 (3) tan C/2 (4) none of these Solution: We know s = (a + b + c)/2 tan (A/2) = √[(s - b)(s-c)/s(s-a)] (a + b +... View Article
1) 6/25 2) 8/25 3) 10/25 4) 24/25 Solution: Given a = 6 cm , b = 8 cm , c = 10 cm From cosine rule cos A = (b2 + c2 - a2)/2bc = (82 + 102 -... View Article