EXERCISE - I sint A-B) sint A+ B) 11. In AABC, 1. In a triangle ABC,...

 

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EXERCISE - I sint A-B) sint A+ B) 11. In AABC, 1. In a triangle ABC, a = 5, b=7 and sin A 4. how many such triangles are possible 1) 1 2)0 3) 2 4) Infinite B-C 2. If tan 2. x cot then x= 12. If a9,b-8 and esr satisfies 3 cosC-2, then a-b C-a 1) c+a b-e 3) b+e b+e 4) b-e 1) x=5 2) x= 6 3) x= 4 4) x=7 a+b 13. In a AABC, if b'+c 3a then If in a triangle ABC, (s - a) (s-b) = s (s- c) then angle C is equal to 1) 90 3. cotB + cotC-CotA = 2)45 3) 30 4) 60 ab 2) 4A ac 1) 1 3) 0 In a AABC, if 2s a +b+c and 4A 4. 14. In AABC, b cos2A-a'cos2B= (s- b) (s- c) = x sin' 1) be then x= 1) b- a 2) b - с 2) ca 3) ab 4) abc 3) e - 4) a +b + c 5. In AABC. ccos(A-a)+a cos (C+a) = 15. In triangle ABC if A+C=2B then ate is I) a cosa 2) b cost Va - ac +e 3) c cosa 4) 2b cosa equal to FLTD. A+C 2) sin 6. If the angles of a triangle ABC be in A.P, then 2) b a+ e - ac 4) b a + c 1) 2cos 4-C 1) c a' + b- ab 3) a' = b +e- ac 3) sin 4) cos AlION MM 16. In AABC. 7. In AABC, COS A cos B cosC 9. asin(B-C)+bsin(C-A+c sin (A- B)= +b+e 2) 1) 1)0 2) a+b+c abe 2abe 26a +b +e) 3) 3) a + b + c 17. The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is 60. If the third side is 3, the remaining fourth side 4) 2(a + b+ c) 4) a +b+c abe In triangle ABC. (b+c)cos A+(e+ a)cos B+ (a + b)cosC = 8. is 1)0 2)1 3) a +b+e 4) 2(a + b+c) 1) 2 2) 3 3) 4 4) 5 In AABC. a'(cos B-Cos C) + b'(cos C-Cos'A) + e'(cos' A-Cos B) 18. In a triangle ABC.a-4, b3, ZA -60°. Then e is the root of the equation 1) e-3e-7=0 3) e- 3e +7= 0 19. In AABC, if (a+b+c) (a-b+e) = 3ac then 9. I)0 2) 1 2) e + 3e +7= 0 4) c + 3e -7 -0 3) a+b+e 4) 2(a + b + c) sin B 10. In AABC, sin (A+ B) 1) ZB-60" 2) ZB-30 * 4) + 3) 2C = 60 4) ZA+ ZC=90 a+h EXERCISE - I sint A-B) sint A+ B) 11. In AABC, 1. In a triangle ABC, a = 5, b=7 and sin A 4. how many such triangles are possible 1) 1 2)0 3) 2 4) Infinite B-C 2. If tan 2. x cot then x= 12. If a9,b-8 and esr satisfies 3 cosC-2, then a-b C-a 1) c+a b-e 3) b+e b+e 4) b-e 1) x=5 2) x= 6 3) x= 4 4) x=7 a+b 13. In a AABC, if b'+c 3a then If in a triangle ABC, (s - a) (s-b) = s (s- c) then angle C is equal to 1) 90 3. cotB + cotC-CotA = 2)45 3) 30 4) 60 ab 2) 4A ac 1) 1 3) 0 In a AABC, if 2s a +b+c and 4A 4. 14. In AABC, b cos2A-a'cos2B= (s- b) (s- c) = x sin' 1) be then x= 1) b- a 2) b - с 2) ca 3) ab 4) abc 3) e - 4) a +b + c 5. In AABC. ccos(A-a)+a cos (C+a) = 15. In triangle ABC if A+C=2B then ate is I) a cosa 2) b cost Va - ac +e 3) c cosa 4) 2b cosa equal to FLTD. A+C 2) sin 6. If the angles of a triangle ABC be in A.P, then 2) b a+ e - ac 4) b a + c 1) 2cos 4-C 1) c a' + b- ab 3) a' = b +e- ac 3) sin 4) cos AlION MM 16. In AABC. 7. In AABC, COS A cos B cosC 9. asin(B-C)+bsin(C-A+c sin (A- B)= +b+e 2) 1) 1)0 2) a+b+c abe 2abe 26a +b +e) 3) 3) a + b + c 17. The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is 60. If the third side is 3, the remaining fourth side 4) 2(a + b+ c) 4) a +b+c abe In triangle ABC. (b+c)cos A+(e+ a)cos B+ (a + b)cosC = 8. is 1)0 2)1 3) a +b+e 4) 2(a + b+c) 1) 2 2) 3 3) 4 4) 5 In AABC. a'(cos B-Cos C) + b'(cos C-Cos'A) + e'(cos' A-Cos B) 18. In a triangle ABC.a-4, b3, ZA -60°. Then e is the root of the equation 1) e-3e-7=0 3) e- 3e +7= 0 19. In AABC, if (a+b+c) (a-b+e) = 3ac then 9. I)0 2) 1 2) e + 3e +7= 0 4) c + 3e -7 -0 3) a+b+e 4) 2(a + b + c) sin B 10. In AABC, sin (A+ B) 1) ZB-60" 2) ZB-30 * 4) + 3) 2C = 60 4) ZA+ ZC=90 a+h