The Equation  represents A The Pair Of Straight Lines. The Distance Between Them Is

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Question

The equation  represents a The Pair of Straight Lines. The distance between them is

Solution

Correct option is

 

The distance between the parallel straight lines given by  is given by  

      

Here,  a = 8, b = 2, c = 15, g = 13  

.

Testing

SIMILAR QUESTIONS

Q1

The tangent to the angle between the lines joining the origin to the points of intersection of the line y = 3x + 2 and the curve x2 + 2xy + 3y2 + 4x + 8y – 11 = 0, is

Q2

The angle between the lines joining the origin to the point of intersection of the line  and the circle x2 + y2 = 4, is 

Q3

The straight lines joining the origin to the points of intersection of the linekx + hy = 2hk with the curve (x – h)2 + (y – k)2 = c2 are at right angles, if

Q4

If the lines joining the origin to the points of intersection of the line y = mx+ 2 and the curve x2 + y2 = 1 are at right-angles, then

Q5

The equation  represents a The Pair of Straight Lines, if

Q6

The equation  represents a The Pair of Straight Lines passing through the origin. The two lines are

Q7

If the pairs of straight lines ax2 + 2hxy – ay2 = 0 and bx2 + 2gxy – by2 = 0 be such that each bisects the angles between the other, then

Q8

If  represents parallel straight lines, then

Q9

 

If the equation  represents a pair of perpendicular straight lines, then  

 

Q10

 

Let PQR be a right angled isosceles triangle, right angled at

P(2, 1). If the equation of the line QR is 2x + y = 3, then the equation representing the pair of lines PQ and PR is