Free Printable 12 B : STRAIGHT LINES : 09 JAN

1.

Distance - of $,\left(\alpha,\ \beta,\ \gamma\right)$
from
y - axis - is

a)

$\beta$

b)

$\left|\beta\right|$

c)

$\left|\alpha\right|+\left|\beta\right|$

d)

$\sqrt{\alpha^2+\gamma^2}$

2.

Distance - of - plane
$\overrightarrow{r\ }.\left(\frac{2}{7}i+\frac{3}{7}i-\frac{6}{7}k\right)=\ 1$
from - origin - is

a)

1

b)

7

c)

$\frac{1}{7}$

d)

5

3.

$Direction\ -\ ratio\ -\ of$
$line\ ,\ \frac{4-x}{2}=\ \frac{y}{6}=\ \frac{1-z}{3}$
is

a)

- 2, 6 , - 3

b)

2 , 6 , 3

c)

- 2, 6 , 3

d)

2, 6 , -3

4.

Line - parallel - to

2i\ +\ j\ +\ 3k

is

a)

$\frac{x-5}{2}=\ \frac{y-3}{-\ 1}=\ \frac{z}{3}$

b)

$\frac{x-5}{-\ 2}=\ \frac{y-3}{1}=\ \frac{z}{3}$

c)

$\frac{x-5}{2}=\ \frac{y-3}{1}=\ \frac{z}{-\ 3}$

d)

$\frac{x-5}{2}=\ \frac{y-3}{1}=\ \frac{z}{3}$

5.

$Lines\ ,\ \frac{x-1}{-2}=\ \frac{y-4}{3p}=\frac{z-3}{4}\$

and

\frac{x-2}{4p}=\ \frac{y-5}{2}=\frac{z-1}{-7}

are - perpendicular

then, p =

a)

10

b)

- 10

c)

14

d)

- 14

6.

Line, through

\left(\alpha,\ \beta,\ \gamma\right)

and - parallel - to
z - axis, is

a)

$\frac{x-\ \alpha}{0}=\ \frac{y-\ \beta}{0}=\ \frac{z\ -\ \gamma}{1}$

b)

$\frac{x-\ \alpha}{0}=\ \frac{y-\ \beta}{1}=\ \frac{z\ -\ \gamma}{0}$

c)

$\frac{x-\ \alpha}{1}=\ \frac{y-\ \beta}{0}=\ \frac{z\ -\ \gamma}{0}$

d)

$\frac{x-\ \alpha}{1}=\ \frac{y-\ \beta}{1}=\ \frac{z\ -\ \gamma}{1}$

7.

Foot - of - perpendicular

drawn\ -\ from\ \left(2,\ 4,\ -\ 1\right)

to - the - line

\frac{x+5}{1}=\ \frac{y+3}{4}=\ \frac{z-6}{-9}

is

a)

( 4, 1, 3)

b)

( 4, -1 , 3)

c)

( - 4 , 1, - 3)

d)

( - 4, - 1, -3 )

8.

line - through

( 0, - 1, - 1 ) &

( 4, 5, 1 )

is

a)

$\frac{x}{4}\ =\ \frac{y+\ 1}{6}\ =\ \frac{z+\ 1}{2}$

b)

$\frac{x}{4}\ =\ \frac{y-\ 1}{6}\ =\ \frac{z+\ 1}{2}$

c)

$\frac{x}{4}\ =\ \frac{y+\ 1}{6}\ =\ \frac{z-\ 1}{2}$

d)

$\frac{x}{4}\ =\ \frac{y+\ 1}{-\ 6}\ =\ \frac{z+\ 1}{2}$

9.

Direction - ratio - of - line

5x - 3 = 15y + 7 = 3 - 10 z

is

a)

6 , 2 , 3

b)

6 , 2, -3

c)

6, - 2 , 3

d)

6 , - 2 , -3

10.

$line,\ \overrightarrow{r\ }\ -\ \overrightarrow{a\ }\ =\ \lambda.\ \overrightarrow{b\ }$
is - parallel - to

a)

$\ \overrightarrow{a\ }$

b)

$\ \overrightarrow{b\ }$

c)

$\lambda$

d)

None of all

12 B : STRAIGHT LINES : 09 JAN

Total questions: 10

Worksheet time: 5mins

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