Pair of Straight Lines Test

Result

Pair of Straight Lines Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

The distance of the point ( x , y ) from Y axis is

1. |x|
2. y
3. x
4. |y|

A
1 and 2

B
3 and 4

C
4 and1

D
1 and 3

Solution

The abscissa or the x co ordiate of a point is the distance from the y- axis. Hence the distance is x
Question 2
1 / -0

Orthocentre of the triangle formed by the lines x + y = 1 and xy = 0 is

A
(0, 0)

B
(0, 1)

C
(1, 0)

D
(− 1, 1)
Question 3
1 / -0

One of the equations of lines passing through the point (3, − 2) and inclined at 60º to the line √3 x + y = 1 is

A
y + 2 = 0

B
x + 2 = 0

C
x + y = 2

D
x − y = √3
Question 4
1 / -0

The angle between lines 2x²− 7xy + 3y² = 0 is

A
60º

B
45º

C
tan⁻¹ (7/6)

D
30º
Question 5
1 / -0

Projection (the foot of perpendicular) from ( x , y ) on the x – axis is

A
( x , 0 )

B
( - x , 0 )

C
( 0 , - y )

D
( 0 , y )

Solution

Let L be the foot of the perpendicular from the X axis. Therefore its y coocrdinate is zero

Therefore the coordiantes of the point L is (x,0)
Question 6
1 / -0

The equation y−y1=m(x−x1),m∈R, represents all lines through the point (x1,y1) except the line

A
parallel to X axis

B
parallel to the line x – y = 0

C
parallel to Y axis

D
none of these

Solution

The vertical lines which are parallel to Y axis has undefined slopes. Hence the slope of the line 'm' will be undefined.

Therefore the above equation of the line will represent all lines through (x₁,y₁₎ except the line parallel to Y- axis
Question 7
1 / -0

If the lines x + 2ay + a = 0, x + 3by + b = 0 and x + 4cy + c = 0 are concurrent, then a, b, c are in

A
A.P

B
H.P

C
G.P

D
None of these

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Re-Attempt Weekly Quiz Competition

Pair of Straight Lines Test - 2

Result

Pair of Straight Lines Test - 2

Score

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Rank

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SHARING IS CARING

Question 1

1 and 2

3 and 4

4 and1

1 and 3

Solution

Question 2

(0, 0)

(0, 1)

(1, 0)

(− 1, 1)

Question 3

y + 2 = 0

x + 2 = 0

x + y = 2

x − y = √3

Question 4

60º

45º

tan−1 (7/6)

30º

Question 5

( x , 0 )

( - x , 0 )

( 0 , - y )

( 0 , y )

Solution

Question 6

parallel to X axis

parallel to the line x – y = 0

parallel to Y axis

none of these

Solution

Question 7

A.P

H.P

G.P

None of these

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-

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tan⁻¹ (7/6)