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a = e gt b = d gt c...


`a = e gt b = d gt c`

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The roots of the equation ax^2+bx + c = 0 will be imaginary if, A) a gt 0 b=0 c lt 0 B) a gt 0 b =0 c gt 0 (C) a=0 b gt 0 c gt 0 (D) a gt 0, b gt 0 c =0

Write increasing order of basic strength of following: (i). (a) F^(ɵ) , (b). Cl^(ɵ) , (c). Br^(ɵ) , (d). I^(ɵ) (A). a gt b gt c gt d (B). d lt a lt c lt b (C). d gt a gt b gt c (D). a gt d gt c gt b (ii). (a). CH_(3)^(ɵ) , (b). Cl^(ɵ) , (c) OH^(ɵ) , (d). F^(ɵ) (A). a gt b gt c gt d (B). d lt a lt c lt b (C). d gt a gt b gt c (D). a gt d gt c gt b (iii). (a). R-NH_(2) , (b). Ph-NH_(2) , (c). R-underset(O)underset(||)(C)-NH_(2) (A). a gt b gt c (B). a lt c lt b (C). a lt b lt c (D). a gt c gt b (iv). (a). NH_(3) , (b). MeNH_(2) , (c). Me_(2)NH , (d). Me_(2)N (A). a lt b lt c lt d (B). d lt a lt c lt b (C). d gt a gt b gt c (D). a gt d gt c gt b

Knowledge Check

  • The number of 7 digit integers abcdefg, where a lt b lt c lt d gt e gt f gt g such that a, b, c, d, e, f, g in {1,2,3,…..,9} . Are

    A
    700
    B
    20
    C
    720
    D
    800

  • Let A=(a,b) and B=(c,d) where c gt a gt 0 and d gt b gt 0 . Then, point C on the X-axis such that AC + BC is the minimum, is:

    A
    `(bc-ad)/(b-d)`
    B
    `(ac+bd)/(b+d)`
    C
    `(ac-bd)/(b-a)`
    D
    `(ad+bc)/(b+d)`

  • A mixture containing DNA fragments a, b, c and d with molecular weigths of a+b=c,a gt b and d gt c , was subjected to agarose gel electrophoresis. The positions of these fragments from cathode to anode sides of the gel would be

    A
    b,a,c,d
    B
    a,b,c,d
    C
    c,b,a,d
    D
    b,a,d,c

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    The least positive integeral value of real lambda so that the equation (x-a)(x-c)(x-e)+lambda (x-b)(x-d)=0, (a gt b gt c gt d gt e) has distinct real roots is __________.

    Write correct order of acidic strength of following compounds: (i). (a). CH_(3)-CH_(2)-O-H (b) CH_(3)-underset(CH_(3))underset(|)(C)H-O-H (c) CH_(3)-underset(CH_(3))underset(|)overset(CH_(3))overset(|)(C)-O-H (A). a gt b gt c (B). a lt b lt c (C). a gt c gt b (D). b gt a gt c (ii). (a). F-CH_(2)-CH_(2)-O-H , (b) NO_(2)-CH_(2)-CH_(2)-O-H (c). Br-CH_(2)-CH_(2)-O-H , (d). overset(o+)(NH_(3))-CH_(2)-CH_(2)-O-H (A). d gt b gt a gt c (B). d lt b lt a lt c (C). c gt b gt a gt d (D). d gt a gt b gt c (iii). (a). CH_(3)COOH (b). CH_(3)CH_(2)OH (c). C_(6)H_(5)OH (d). C_(6)H_(5)SO_(3)H (A). d gt a gt c gt b (B). d lt a lt c lt b (C). d gt a gt b gt c (D). a gt d gt c gt b

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    Statements : A = B gt C lt D = E lt F Conclusions : I. F gt B II. B gt D

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