Self Studies
Self Studies
Self Studies
Self Studies

Mathematics Tes...

TIME LEFT -
  • Question 1
    4 / -1

    Find the value of\(\tan ^{-1} \sqrt{3}-\sec ^{-1}(-2)\) is equal to:

  • Question 2
    4 / -1

    The \(7^{\text {th }}\) term of an A.P. is \(\frac{1}{5}\) and \(5^{\text {th }}\) term is \(\frac{1}{ 7} \). Find sum of first \(13\) terms.

  • Question 3
    4 / -1

    The system of equations

    \(2 x+y-3 z=5\)

    \(3 x-2 y+2 z=5 \text { and }\)

    \(5 x-3 y-z=16\)

  • Question 4
    4 / -1

    If the quadratic equations \(3 x^{2}+a x+1=0\) and \(2 x^{2}+b x+1=0\) have a common root, then the value of the expression \(5 a b-2 a^{2}-3 b^{2}\) is:

  • Question 5
    4 / -1

    A-line cuts off equal intercepts on the co-ordinate axes. The angle made by this line with the positive direction of the \(X\)-axis is:

  • Question 6
    4 / -1

    The interval in which \(x(>0)\) must lie so that the greatest term in the expansion of \((1+x)^{2 n}\) has the greatest coefficient is:

  • Question 7
    4 / -1

    Evaluate \(\int \log \left(x+\frac{1}{x}\right) d x\)

  • Question 8
    4 / -1

    Find the equation of the plane passing through the point \((0,7,-7)\) and containing the line \(\frac{x+1}{-3}=\frac{y-3}{2}=\frac{z+2}{1}\) is:

  • Question 9
    4 / -1

    In the next World cup of cricket, there will be \(12\) teams, divided equally into two groups. Teams of each group will play a match against each other. From each group, \(3\) top teams will qualify for the next round. In this round, each team will play against each other once. Each of the four top teams of this round will play a match against the other three. Two top teams of this round will go to the final round, where they will play the best of three matches. The Minimum number of matches in the next World cup will be:

  • Question 10
    4 / -1

    The slope of the tangent at \((x, y)\) to a curve passing through \(\left[1,\left(\frac{\pi}{4}\right)\right]\) is given by \(\left(\frac{y}{x}\right)-\cos ^{2}\left(\frac{y}{x}\right)\), then the equation of the curve is:

  • Question 11
    4 / -1

    Find the eccentricity of the ellipse \(2 x^{2}+3 y^{2}=6\).

  • Question 12
    4 / -1

    Evaluate:

    \(\frac{\cos x-\sin x+1}{\cos x+\sin x-1}=?\)

  • Question 13
    4 / -1

    The equation of the tangent to the curve \(y=x^{3}\) at \((1,1)\) is:

  • Question 14
    4 / -1

    Solve the following Linear Programming Problems graphically:

    Minimise \(\mathrm{Z}=-3 \mathrm{x}+4 \mathrm{y}\), subject to \(x+2 y \leq 8,3 x+2 y \leq 12, x \geq 0, y \geq 0\)

  • Question 15
    4 / -1

    A committee has 6 members having weights (In kg) as 45, 50, 65, 72, 63, 35. Find the standard deviation of their weights.

Submit Test
Self Studies
User
Question Analysis

  • Answered - 0

  • Unanswered - 15

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
Submit Test
Self Studies Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Self Studies
Click on Allow to receive notifications
Allow Notification
Self Studies
Self Studies Self Studies
To enable notifications follow this 2 steps:
  • First Click on Secure Icon Self Studies
  • Second click on the toggle icon
Allow Notification
Get latest Exam Updates & FREE Study Material Alerts!
Self Studies ×
Open Now