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Q.

Statement I:  In a right angled triangle,  sin2A+sin2B+sin2C=2
Statement II:  If α,ß are complimentary angles then sin2α+sin2β=1
 

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a

Both statements I and II are true, statement –II is not correct explanation for statement-I

b

Statement I is false and statement II is true.

c

Statement I is true and Statement II is false

d

Both statements I and II are true, statement –II is a correct explanation for statement-I

answer is A.

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Detailed Solution

S – I:  If  B=90°
A + C =  90°
sin2A+sin2C=1          (A, C are complimentary angles)
Now  sin2A+sin2B+sin2C
= 1 + 1 = 2
S- II:  α,ß  are complementary angle
sin2α+sin2β=1
 

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