Show that the equation 2x^(2) + xy - y^(...

Show that the equation `2x^(2) + xy - y^(2) + x + 4y - 3 = 0` represents a pair of lines.

Text Solution

AI Generated Solution

Topper's Solved these Questions

PAIR OF STRAIGHT LINES
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise COMBINED EQUATION OF ANY TWO LINES|3 Videos
PAIR OF STRAIGHT LINES
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos
PAIR OF STRAIGHT LINES
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Theory Questions|2 Videos
MODEL QUESTION PAPER FOR PRACTICE
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SECTION-D (Atempt any five of the following)|8 Videos
PLANE
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

Find the value of k, if the equation 2x^(2) + 4xy - 2y^(2) + 4x + 8y + k = 0 represents a pair of lines, Further find whether these lines are parallel or intersecting.

Show that the equation x^(2) - 16xy - 11y^(2) = 0 represents a pair of lines through the origin, each making an angle of 30^(@) with the line x + 2 - 1 = 0

Show that the equation x^(2)-6xy+5y^(2)+10x-14y+9=0 represents a pair of lines. Find the acute angle between them. Also find the point of intersection of the lines.

If the equation 2x^(2)+4xy-2y^(2)+4x+8y+k=0 represents a pair of line, then k=

If the equation 2x^(2)-3xy+y^(2)-kx+5y+6=0 represents a pair of line, then k=

If 2x^(2)+xy-3y^(2)+4x+ky-6=0 represents a pair of lines then k=

Prove that the equation 2x^(2)+5xy+3y^(2)+6x+7y+4=0 represents a pair of straight lines.Find the coordinates of their point of intersection and also the angle between them.

If the equation x^(2)+3xy+2y^(2)+x-y+k=0 represents a pair of line, then k=

If the equation 2x^(2)+kxy-3y^(2)-x-4y-1=0 represents a pair of lines then the value of ' 'k' can be:

Find the value of lambda for which the equation 2x^(2)+4xy+y^(2)+x+3y+2=0 represents a pair of straight line

NAVNEET PUBLICATION - MAHARASHTRA BOARD-PAIR OF STRAIGHT LINES -Examples for Practice

Find the separate equations of the lines represented by : (1) 3x^(...
Text Solution
|
Find the combined equation of te lines : (1) Through the origin havi...
Text Solution
|
Find the combined equation of the lines passing through the origin suc...
Text Solution
|
If slopes of lines represented by kx^(2)+5xy+y^(2)=0 differ by 1, then...
Text Solution
|
If 2x + y = 0 is one of the lines represented by 3x^(2) + kxy + 2y^(2)...
Text Solution
|
Find the value of k, if the slope of one of the lines given by 4x^(2) ...
Text Solution
|
If m(1) and m(2) are slopes of lines represented by equation 3x^(2) + ...
Text Solution
|
If the lines px^(2) - qxy -y^(2) = 0 make the angles alpha and beta wi...
Text Solution
|
Find the measure of the acute angle between the lines represented by x...
Text Solution
|
If the slope of one of the lines given by ax^(2) + 2hxy + by^(2) = 0 ...
Text Solution
|
Find the combined equation of the lines through the origin : (1) ea...
Text Solution
|
Show that the equation x^(2) - 16xy - 11y^(2) = 0 represents a pair of...
Text Solution
|
Find the combined equation of the pair of lines through the origin and...
Text Solution
|
IF the slope of one of the lines given by ax^(2) + 2hxy + by^(2) = 0 i...
Text Solution
|
Find the joint equation of the pair of lines through the origin and ma...
Text Solution
|
Show that the equation 2x^(2) + xy - y^(2) + x + 4y - 3 = 0 represents...
Text Solution
|
Show that the equation 9x^(2) - 6xy + y^(2) + 18x - 6y + 8 = 0 represe...
Text Solution
|
Find k, if each of the following equation represents a pair of lines :...
Text Solution
|
Find p and q, if the following equation represent a pair of lines perp...
Text Solution
|
Find p and q, if the equation px^(2) - 6xy + y^(2) + 18x - qy + 8 = 0 ...
Text Solution
|