Mathematics Test

5 Questions | Attempts: 230
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Math Quizzes & Trivia

Take this test for checking your knowledge in Mathematics of class 12.
Remember one or more options may be correct.


Questions and Answers
  • 1. 

    5+8cos(@)+4cos(2@)+cos(3@) can take values, where @ is a real angle.

    • A.

      -3

    • B.

      -1

    • C.

      1

    • D.

      3

    • E.

      5

    Correct Answer(s)
    C. 1
    D. 3
    E. 5
  • 2. 

    If a,b,c,d belongs to R-{0} & (d+a-b)^2 + (d+b-c)^2=0, then roots of quadratic equation a(b-c)X^2+b(c-a)X+c(a-b)=0

    • A.

      May be equal

    • B.

      Cannot be equal

    • C.

      May be real & rational

    • D.

      Must be real & rational

    Correct Answer(s)
    B. Cannot be equal
    C. May be real & rational
  • 3. 

    A circle of radius 'r' is tangent to parabola Y^2=4aX at 2 distinct points. {r,a}belongs to real nos. & a>0.Range of values of 'r' is

    • A.

      (2a,infinity)

    • B.

      (0,infinity)

    • C.

      (a,infinity)

    • D.

      (2V2,infinity)

    • E.

      (4a,infinity)

    Correct Answer
    A. (2a,infinity)
  • 4. 

    ABCD is a convex quadrilateral with angleBAC=50*, angleCAD=60*, angleCBD=30*, angleBDC=25*, If E is a point of intersection of AC & BD, angleAEB equals

    • A.

      90*

    • B.

      95*

    • C.

      85*

    • D.

      98*

    Correct Answer
    B. 95*
  • 5. 

    A circle of radius 'r' passes through origin & lines (k+7)X-(k-1)Y-4(k-5)=0, where k is parameter intersects circle at 90*, then 'r' equals

    • A.

      2V15

    • B.

      2V10

    • C.

      2V5

    • D.

      Depends on k

    Correct Answer
    B. 2V10

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Jan 03, 2013
    Quiz Edited by
    ProProfs Editorial Team
  • Jul 16, 2009
    Quiz Created by
    Adityakumar
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