Home
Class 12
MATHS
If the equation 4y^(3) - 8a^(2)yx^(2) - ...

If the equation `4y^(3) - 8a^(2)yx^(2) - 3ay^(2)x +8x^(3) = 0` represents three straight lines, two of them are perpendicular, then sum of all possible values of a is equal to

A

`(3)/(8)`

B

`(-3)/(4)`

C

`(1)/(4)`

D

-2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|12 Videos
  • STRAIGHT LINES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|4 Videos
  • SOLUTION OF TRIANGLES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|11 Videos
  • TRIGONOMETRIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

The equation x^(3)+ax^(2)y+bxy^(2)+y^(3)=0 represents three straight lines, two of which are perpendicular, then the equation of the third line, is

Equation ax^3-9x^2y-xy^2+4y^3=0 represents three straight lines. If the two of the lines are perpendicular , then a is equal to

The equation x^(3)+x^(2)y-xy^(2)-y^(3)=0 represents three straight lines passing through the origin such that

If the equation 3x^(2)+xy-y^(2)-3x+6y+k=0 represents a pair of straight lines, then the value of k, is

If the equation x^(4)+bx^(3)y+cx^(2)y^(2)+dxy^(3)+ey^(4)=0 represent two pairs of perpendicular lines, then

The equation x^3+x^2y-x y=y^3 represents three real straight lines lines in which two of them are perpendicular to each other lines in which two of them are coincident none of these

The equation x^3+x^2y-x y^2 =y^3 represents (a)three real straight lines (b)lines in which two of them are perpendicular to each other (c)lines in which two of them are coincident (d)none of these

Prove that the equation m (x^3-3xy^2)+y^3-3x^2y=0 represents three straight lines equally inclined to each other.

If the straight lines 3x-5y=7and4x+ay+9=0 are perpendicular to one another, find the value of a.

If the equation 3x^(2)+6xy+my^(2)=0 represents a pair of coincident straight lines, then (3m)/2 is equal to