Let two fair six-faced dice A and B be thrown simultaneously. If

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

131.

If the sum of two of the roots of x3 + px2 - qx + r = 0 is zero, then pq is equal to

  • - r

  • r

  • 2r

  • - 2r


132.

The angle between the tangents drawn from the point (1, 2) to the ellipse 3x2 + 2y2 = 5 is

  • tan-11255

  • tan-112513

  • π4

  • π2


133.

The equation of the circle whose diameter is the common chord of the circles x2 + y+ 2x + 2y + 1 = 0 and x2 + y+ 4x + 6 y + 4 = 0 is

  • 10x2 + 10y2 + 14x + 8y +1 = 0

  • 3x2 + 3y2 - 3x + 6y - 8 = 0

  • 2x2 +2y2 - 2x + 4y +1 = 0

  • 2x2 + 2y2 - 2x + 4y + 1 = 0


134.

Area (in sq. units) of the region outside x2 + y3 = 1 and inside the ellipse x24 + y29 = 1

  • 3π - 2

  • 34 - π

  • 6π - 2

  • 64 - π


Advertisement
135.

If 
straight f left parenthesis straight x right parenthesis space plus space 2 straight f open parentheses 1 over straight x close parentheses space equals space 3 straight x comma
straight x space not equal to space 0 space and space straight S space equals space open curly brackets straight x space straight epsilon space straight R colon space straight f space left parenthesis straight x right parenthesis space equals space straight f left parenthesis negative straight x right parenthesis close curly brackets semicolon space then space straight S

  • is an empty set

  • contains exactly one element.

  • contains exactly two elements.

  • contains exactly two elements.

251 Views

136.

For x ε R, f (x)=|log2−sinx| and g(x)=f(f(x)), then :

  • g is not differentiable at x=0

  • g'(0)=cos(log2)

  • g'(0)=-cos(log2)

  • g'(0)=-cos(log2)

525 Views

Advertisement

137.

Let two fair six-faced dice A and B be thrown simultaneously. If E1 is the event that die A shows up four, E2 is the event that die B shows up two and E3 is the event that the sum of numbers on both dice is odd, then which of the following statements is NOT true?

  • E1 and E2 are independent

  • E2 and E3 are independent.

  • E1 and E3 are independent.

  • E1 and E3 are independent.


D.

E1 and E3 are independent.

220 Views

Advertisement
138.

If g is the inverse of a function f and f'(x) = fraction numerator 1 over denominator 1 plus straight x to the power of 5 end fraction comma then g'(x) is equal to 

  • 1+ x6

  • 5x4

  • fraction numerator 1 over denominator 1 plus space left curly bracket straight g left parenthesis straight x right parenthesis right square bracket to the power of 5 end fraction
  • fraction numerator 1 over denominator 1 plus space left curly bracket straight g left parenthesis straight x right parenthesis right square bracket to the power of 5 end fraction
178 Views

Advertisement
139.

If fk(x) = 1/k (sink x + cosk x), where x ε R and k ≥1, then f4 (x)-fo (x) equal to 

  • 1/6

  • 1/3

  • 1/4

  • 1/4

222 Views

140.

Let A and B be two events such that straight P left parenthesis space stack straight A space union straight B right parenthesis with bar on top space equals space 1 over 6 comma space straight P space left parenthesis straight A space intersection straight B right parenthesis space equals space 1 fourth space and space space straight P space left parenthesis straight A with bar on top right parenthesis space equals space 1 fourth where straight A with bar on top. Then, the events A and B are

  • independent but not equally likely

  • independent and equally likely

  • mutually exclusive and independent

  • mutually exclusive and independent

158 Views

Advertisement