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11th Standard Maths Two Dimensional Analytical Geometry English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021

11th Standard

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Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. Which of the following equation is the locus of (at2; 2at)

    (a)

    \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\)

    (b)

    \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

    (c)

    x2+y2=a2

    (d)

    y2=4ax

  2. The slope of the line which makes an angle 45 with the line 3x- y = -5 are

    (a)

    1,-1

    (b)

    \(\frac{1}{2},-2\)

    (c)

    \(1,\frac{1}{2}\)

    (d)

    \(2,-\frac{1}{2}\)

  3. The coordinates of the four vertices of a quadrilateral are (-2,4), (-1,2), (1,2) and (2,4) taken in order. The equation of the line passing through the vertex (-1,2) and dividing the quadrilateral in the equal areas is

    (a)

    x+1=0

    (b)

    x+y=1

    (c)

    x+y+3=0

    (d)

    x-y+3=0

  4. Equation of the straight line perpendicular to the line x - y + 5 = 0, through the point of intersection the y-axis and the given line

    (a)

    x-y-5=0

    (b)

    x+y-5=0

    (c)

    x+y+5=0

    (d)

    x+y+10=0

  5. The line (p + 2q)x + (p - 3q)y = p - q for different values of p and q passes through the point

    (a)

    \(\left(\frac{3}{5},\frac{5}{2}\right)\)

    (b)

    \(\left(\frac{2}{5},\frac{2}{5}\right)\)

    (c)

    \(\left(\frac{3}{5},\frac{3}{5}\right)\)

    (d)

    \(\left(\frac{2}{5},\frac{3}{5}\right)\)

  6. The distance between the line 12x - 5y + 9 = 0 and the point (2, 1) is

    (a)

    \(\pm\frac{28}{13}\)

    (b)

    \(\frac{28}{13}\)

    (c)

    \(-\frac{28}{13}\)

    (d)

    none of these

  7. The inclination to the x-axis and intercept on y-axis of the line \(\sqrt {2y}=x+2\sqrt 2\)

    (a)

    \(30^0,\sqrt 2\)

    (b)

    300,2

    (c)

    \(45^0,2\sqrt 2\)

    (d)

    450,2

  8. The equation of a line which makes an angle of 135° with positive direction of x-axis and passes through the point (1,1) is

    (a)

    x+y=2

    (b)

    x-y=0

    (c)

    \(2\sqrt {2x}-\sqrt {2y}=0\)

    (d)

    x-3y=0

  9. The lines x cos \(\alpha\)+ysin\(\alpha\)=p and xcos\(\beta\)+ysin\(\beta\)=q will be perpendicular if

    (a)

    \(\alpha =\beta\)

    (b)

    \(\alpha-\beta=\frac{\pi}{2}\)

    (c)

    \(|\alpha-\beta|=\frac{\pi}{2}\)

    (d)

    \(\alpha-\beta=0\)

  10. The image of the point (1,2) with respect to the line y=x is

    (a)

    (-1,-2)

    (b)

    (2,1)

    (c)

    (2,-1)

    (d)

    (2,1)

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