Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 24

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Weekly Quiz Competition

Question 1
4 / -1

The length of perpendicular from (3,1) on line 4x + 3y + 20 = 0, is

A
6

B
7

C
5

D
8

Solution
Question 2
4 / -1

The number of points on the line x + y = 4 which are unit distance apart from the line 2x + 2y = 5 is

A
0

B
1

C
2

D
Infinity

Solution
Question 3
4 / -1

The ratio in which the line 3x + 4y + 2 = 0 divides the distance between 3x + 4y + 5 = 0 and 3x + 4y - 5 = 0, is

A
7 : 3

B
3 : 7

C
2 : 3

D
None of these

Solution
Question 4
4 / -1

A
A.P

B
G.P

C
H.P

D
None of these

Solution
Question 5
4 / -1

In what ratio the line y – x + 2 = 0 divides the line joining the points (3, –1) and (8,9)

A
1 : 2

B
2 : 1

C
2 : 3

D
3 : 4

Solution
Question 6
4 / -1

A point equidistant from the lines 4x + 3y + 10 = 0, 5x – 12y + 26 = 0 and 7x + 24y – 50 = 0 is

A
(1, –1)

B
(1, 1)

C
(0, 0)

D
(0, 1)
Question 7
4 / -1

Which pair of points lie on the same side of 3x – 8y – 7 = 0

A
(0, –1) and (0, 0)

B
(4, –3) and (0, 1)

C
(–3, –4) and (1, 2)

D
(–1, –1) and (3, 7)

Solution
Question 8
4 / -1

The number of integral values of m, for which the x-co-ordinate of the point of intersection of the lines 3x + 4y = 9 and y = mx + 1 is also an integer is

A
2

B
0

C
4

D
1

Solution
Question 9
4 / -1

The sides AB, BC, CD and DA of a quadrilateral are x + 2y = 3, x – 3y = 4,5x + y + 12 = 0 respectively.The angle between diagonals AC and BD is

A
45^o

B
60^o

C
90^o

D
30^o

Solution
Question 10
4 / -1

The equation of the line joining the point (3,5) to the point of intersection of the lines 4x + y – 1 = 0 and 7x – 3y – 35 = 0 is equidistant from the points (0,0) and (8,34)

A
True

B
False

C
Nothing can be said

D
None of these

Solution