Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 43

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Question 1
4 / -1

Let α be the distance between the lines –x + y = 2 and x – y = 2, and β be the distance between the lines 4x – 3y = 5 and 6y – 8x = 1, then

A

B

C

D
None of these

Solution
Question 2
4 / -1

Choose the correct statement which describe the position of the point (–6,2) relative to straight lines 2x + 3y – 4 = 0 and 6x + 9y + 8 + 0

A
Below both the lines

B
Above both the lines

C
In between the lines

D
None of the above

Solution
Question 3
4 / -1

The position of the points (3, 4) and (2, –6) with respect to the line 3x – 4y = 8 are

A
On the same side of the line

B
On different side of the line

C
One point on the line and the other outside the line

D
Both points on the line

Solution
Question 4
4 / -1

A ray of light coming from the point (1,2) is reflected at a point A on the x-axis and then passes through the point (5,3). The coordinates of the point A are

A

B

C

D
None of these

Solution
Question 5
4 / -1

If the co-ordinates of the middle point of the portion of a line intercepted between coordinates axes is (3,2), then the equation of the line will be

A
2x + 3y = 12

B
3x + 2y = 12

C
4x – 3y = 6

D
5x – 2y = 10

Solution
Question 6
4 / -1

A
2x + 3y + 22 = 0

B
5x – 4y + 7 = 0

C
3x – 2y + 3 = 0

D
None of these

Solution
Question 7
4 / -1

The equation of perpendicular bisectors of the sides AB and AC of a triangle ABC are x – y + 5 = 0 and x + 2y = 0 respectively. If the point A is (1, –2), then the equation of line BC is

A
23x + 14y – 40 = 0

B
14x – 23y + 40 = 0

C
23x – 14y + 40 = 0

D
14x + 23y – 40 = 0

Solution
Question 8
4 / -1

The medians AD and BE of a triangle with vertices A(0,b), B(0,0) and C(a,0) are perpendicular to each other, if

A

B

C
Both (a) and (b)

D
None of these

Solution
Question 9
4 / -1

Let PS be the median of the triangle with vertices P(2,2), Q(6, –1) and R(7, 3). The equation of the line passing through (1, –1) and parallel to PS is

A
2x – 9y – 7 = 0

B
2x – 9y – 11 = 0

C
2x + 9y – 11 = 0

D
2x + 9y + 7 = 0

Solution
Question 10
4 / -1

The equation of straight line passing through (–a, 0) and making the triangle with axes of area \'T\' is

A
2Tx + a²y + 2aT = 0

B
2Tx – a²y + 2aT = 0

C
2Tx – a²y – 2aT = 0

D
None of these

Solution