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

11th Standard

Reg.No. :
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Maths

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

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)