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Statement 1: For -1<a<4,int(dx)/(x^2+2(a...

Statement 1: For `-1

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Step by step text solution for Statement 1: For -1<a<4,int(dx)/(x^2+2(a-1)x+a+5) =lambdalog|g(x)|+c , where lambdaa n dc are constants Statement 2: For -1<a<4,1/(x^2+2(a-1)x+a+5)i scon t inuou sfu n c t ion by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Statement 1: For a singular square matrix A ,A B=A C B=Cdot Statement 2; |A|=0,t h e nA^(-1) does not exist.

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: If both the statements are true and Statement 2 is the correct explanation of statement 1. If both the statements are True but Statement 2 is not the correct explanation of Statement 1. If Statement 1 is True and Statement 2 is False. If Statement 1 is False and Statement 2 is True. Statement 1: sinpi/(18) is a root of 8x^3-6x+1=0 Statement 2: For any theta in R ,sin3theta=3sintheta-4sin^3theta

Knowledge Check

  • Statement - 1: For every natural number nge2,1/sqrt1+1/sqrt2+...+1/sqrtngtsqrtn . Statement - 2 : For every natural number nge2,sqrt(n(n+1))ltn+1

    A
    Statement - 1 is true, Statement - 2 is false
    B
    Statement - 1 is false, Statement - 2 is true
    C
    Statement - 1 is true, Statement - 2 is true, Statement - 2 is a correct explanation for Statement - 1
    D
    Statement - 1 is true, Statement - 2 is true, Statement - 2 is not a correct explanation for Statement - 1

  • In the following question, statement 1 refers assertion and statement 2 refers reason. Statement 1: During perfect rolling, the frictional force is zero. Statement 2: The velocity at the point of contact becomes zero. Select the correct option.

    A
    Statement 1 and 2 are true and statement 2 is a correct explanation for statement 1.
    B
    Statements 1 and 2 are true and statement 2 is not a correct explanation for statement 1.
    C
    Statement 1 is true and statement 2 is false.
    D
    Statement 1 is false and statement 2 is true.

  • In the following question, statement 1 refers assertion and statement 2 refers reason. Statement 1: During perfect rolling, the frictional force is zero. Statement 2: The velocity at the point of contact becomes zero. Select the correct option.

    A
    Statement 1 and 2 are true and statement 2 is a correct explanation for statement 1.
    B
    Statements 1 and 2 are true and statement 2 is not a correct explanation for statement 1.
    C
    Statement 1 is true and statement 2 is false.
    D
    Statement 1 is false and statement 2 is true.

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    Statement 1: Sum of the series 1^3-2^3+3^3-4^3++11^3=378. - Statement 2: For any odd integer ngeq1,n^3-(n-1)^3++(-1)^(n-1)1^3=1/4(2n-1)(n+1)^2dot

    Statement 1 : If -2h=a+b , then one line of the pair of lines a x^2+2h x y+b y^2=0 bisects the angle between the coordinate axes in the positive quadrant. Statement 2 : If a x+y(2h+a)=0 is a factor of a x^2+2h x y+b y^2=0, then b+2h+a=0 Both the statements are true but statement 2 is the correct explanation of statement 1. Both the statements are true but statement 2 is not the correct explanation of statement 1. Statement 1 is true and statement 2 is false. Statement 1 is false and statement 2 is true.

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    Let C_1 be the circle with center O_1(0,0) and radius 1 and C_2 be the circle with center O_2(t ,t^2+1),(t in R), and radius 2. Statement 1 : Circles C_1a n dC_2 always have at least one common tangent for any value of t Statement 2 : For the two circles O_1O_2geq|r_1-r_2|, where r_1a n dr_2 are their radii for any value of tdot

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