MULTIPLE CHOICE QUESTIONS
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1 . Qurti Equtions C h p t e r t G l n e The generl form of qurti polynomil is + + = 0 where,, re rel numers n. Zeroes of qurti polynomil n e otine y equtions given eqution equl to zero n solution it. Methos of solving qurti equtions () Ftoristion Metho : If + + = (p + q) (mk + n) then q p n n m re the roots. () Completing Squre Metho : Thir term = Coeffiient of using thir term omplete the R. H. S. sie of the eqution n then tking sq. root of oth sies solve the eqution. () Formul Metho : 4 Nture of roots epens on 4 ) 0 roots re not rel. ) 0 roots re rel n equl. ) 0 roots re rel n unequl. ) perfet squre roots re rtionl. e) not perfet squre, roots re irrtionl. 4) If re roots of qurti eqution the n + MULTIPLE CHOICE QUESTIONS (MCQ's) (Eh question rries one mrk). In the qurti eqution + 3 = 0, the vlue of 4 is If one root of the qurti eqution 7 + k = 0 is 4, then the vlue of k is The roots of the qurti eqution = 0 re.... rel n equl rel n unequl not rel not equl
2 ALGEBRA - S.S.C The isriminnt of the qurti eqution y + 6y = 0 is If m 6 = 0 then m is equl to The roots of the qurti eqution 3 = 0 is.... 3, 0 0, 3, 3 0, 7. The eqution ( ) = is written in the stnr form s = 0 + = 0 + = 0 = 0 8. The qurti eqution whose roots re 3 n 0 is = = 0 3 = = 0 9. Whih mong the following is qurti eqution? = 3 3 = 5y 8y = 6y p 3 = 4p y 0. If the roots of the qurti eqution re rel n equl then must e.... equl to zero greter thn zero equl to one greter thn one. If = n = 3 5 then the vlue of is The roots of the qurti eqution 4 = 0 re , 0 +5, 5, If = 7 n = 7 + then the vlue of is , Three times the squre of nturl numer is 363 is written in the mthemtil eqution form s = = 363 = = If the isriminnt of the qurti eqution k = 0, is zero then the vlue of k is In the qurti eqution = 0 the vlue of is Qurti Equtions
3 8 Unique MCQ's 7. If one of the ftors of the qurti eqution 5 36 = 0 is ( 9), then the other ftor is If one of the root of the qurti equtions is 3 5, then the qurti eqution is For qurti eqution 6 = 0, whih of the following vlue of stisfies the eqution? 0. The sum of numer n its reiprol is 6 form s = = 6 5 Qurti Equtions is written in the mthemtil eqution + = 6. If ( 5) ( ) = 0, then the roots of qurti equtions re = 0 ( 5, ) ( 5, ) (5, ) (, 5). If the eqution k = 0 hs rel n unequl roots, then the vlue of k is.... k > 4 k < 4 k 4 k 4 3. If + = 5 n + = 53, wht is the qurti eqution whose roots re n? 5 4 = = = = 0 Answers. () ( ) 4 3 = 8. () k = k = 0 + k = 0 = 3. () 4 = (8) 4 6 [ =, = 8, = 0] = = 0 rel n equl. 4. () 4 = 6 4 ( ) = () 6 6. () ( 3) = 0, 3 7. () = = 0 8. () (3 + 0) = = 0 9. () Write the equtions in the stnr form = 4 y 5 = 6y 0. () equl to zero.. () + = = 4. () = 4, = () = 7 = 5 4. () 3 = () k = 0 4 = k 4 = 0
4 ALGEBRA - S.S.C k = 0 48 = 6k k = 3 6. () Compre the eqution with the stnr form = 3 7. () 5 36 = = 0 ( 9) + 4( 9) = 0 ( 9) ( + 4) = 0 Other ftor () = 3 5 = = = 6 = = 3 5 = 9 5 = 4 Qurti eqution = ( + ) + = 0 = () 6 = = 0 Prolems For Prtie. If one root of the qurti eqution k 7 + = 0 is 3 then k is equl to The roots of the qurti eqution = 0 re.... (3 ) + (3 ) = 0 ( + ) (3 ) = 0 + = 0 or 3 = 0 = or 3 = = = 0. () + = 6 6, 4 6, 4 6, 4 6, 4 3. For the qurti eqution y 5y + = 0 the vlue of the isriminnt is The qurti eqution whose roots re 5 n 9 is = = = = 0 5. Whih of the following is the root of the qurti eqution = or = 3. () 5 = 0 or = 0 = 5 or = = (5, ). () If 4 > 0 then root re rel n unequl. 4 = 4 4 k = 6 4k k < 4 3. () ( + ) + = 0 + = ( + ) 53 = 5 53 = = 8 = = = 0 6. If =4 3 n = then the vlue of is For the eqution y + 6y 8 = 0, the vlue of the thir term is Qurti Equtions
5 0 Unique MCQ's 8. For the qurti eqution + 5 = 4, the vlue of is For the eqution 4 9 =, the vlue of 4 is If = 3 5 n = then the vlue of is One of the roots of the qurti eqution y 9 = 0 is In the qurti eqution = 0 the vlue of the isriminnt is If n re the roots of the qurti eqution + + = 0 then is equl to The roots of the qurti eqution with the rel n unequl if 4 is.... greter thn zero less thn zero greter thn one less thn one 5. The sum of nturl numer n its reiprol is 0 3 eqution form s = = = Whih mong the following is qurti eqution? n 8 = 4n 3 (m + 3) (m 6) = 0 5 = = Answers is written in the mthemtil = Qurti Equtions
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