#### Two Dimensional Analytical Geometry One Mark Question

11th Standard

Reg.No. :
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Maths

Time : 00:30:00 Hrs
Total Marks : 10
10 x 1 = 10
1. The equation of the locus of the point whose distance from y-axis is half the distance from origin is

(a)

x2+3y=0

(b)

x2-3y2=0

(c)

3x2+y2=0

(d)

3x2-y2=0

2. 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

3. 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)

$2,-\frac{1}{2}$

4. Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 + 2$\sqrt{2}$ is

(a)

x+y+2=0

(b)

x+y-2=0

(c)

$x+y-\sqrt{2}=0$

(d)

$x+y+\sqrt{2}=0$

5. The intercepts of the perpendicular bisector of the line segment joining (1, 2) and (3,4) with coordinate axes are

(a)

5,-5

(b)

5,5

(c)

5,3

(d)

5,-4

6. The equation of the bisectors of the angle between the co-ordinate axes are

(a)

x+y=0

(b)

x-y=0

(c)

x$\pm$y=0

(d)

x=0

7. 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

8. The equation of the straight line bisecting the line segment joining the points (2,4) and (4,2) and making an angle of 450 with positive direction of x-axis is

(a)

x+y=6

(b)

x-y=0

(c)

x-y=6

(d)

x+y=0

9. The equation of median from verten B of the triangle $\triangle ABC$  the co-ordinates of whose vertices are A(-1,6)B(-3,-9)C(5,-8)

(a)

29x+4y+5=0

(b)

8x-5y-21=0

(c)

13x+14y+47=0

(d)

x+y-7=0

10. The equation of the straight line which passes through the point (2,4) and have intercept on the axes equal in magnitude but opposite in sign is

(a)

x-y=2

(b)

x-y+2=0

(c)

x-y+1=0

(d)

x-y-1=0