If the slopes of the lines represented b...

If the slopes of the lines represented by `6x^(2)+2hxy+y^(2)=0` are in the ratio `1:2` then h=

`(sqrt(3))/(2)`

`(1)/(2)`

`-(1)/(2)`

`-(3 sqrt(3))/(2)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PAIR OF STRAIGHT LINES
AAKASH SERIES|Exercise PRACTICE EXERCISE|85 Videos
PAIR OF STRAIGHT LINES
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)|64 Videos
PAIR OF STRAIGHT LINES
AAKASH SERIES|Exercise EXERCISE -I|50 Videos
MULTIPLE PRODUCT OF VECTORS
AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos
PERIODICITY AND EXTEME VALUES
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

Similar Questions

Explore conceptually related problems

Find the value of h if the slopes of the lines represented by 6x^(2)+2hxy+y^(2)=0 are in the ratio 1:2.

If the slopes of the lines represented by ax^(2)+2hxy+by^(2)=0 are in the ratio m:n then ((m+n)^(2))/(mn)=

If the slope of one of the lines represented by ax^(2) + 2hxy + by^(2) = 0 is the square of the other, then (a+b)/h+(8h^(2))/(ab)

If the slope of one of the lines represented by ax^(2) - 6xy + y^(2) = 0 is the square of the other, then the value of a is

Assertion (A) : The slopes of one line represented by 2x^(2)–5xy+2y^(2) = 0 is 4 times the slope of the second line. Reason (R): If the slopes of lines represented by ax^(2)+2hxy+by^(2)=0 are in m:n then ((m+n)^(2))/(mn)=(4h^(2))/(ab)

If the slope of one of the lines represented by ax^(2)-6xy+y^(2)=0 is the square of the other, then the value of a is

If slope of one of the lines represented by ax^(2)+2hxy+by^(2)=0 is n^(th) power of the other then prove that (ab^(n))^((1)/(n+1))+(a^(n)b)^((1)/(n+1))+2h=0

If the slope of one of the line represented by 2x^(2)+3xy+Ky^(2)=0 is 2 then angle between pair of lines is

AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -II

If theta(2) and theta(2) are the angles made by the lines (x^(2)+y^(2)...
Text Solution
|
Statement-I : If the equation 4x^(2)+mxy-3y^(2)=0 represents a pair of...
Text Solution
|
If the slopes of the lines represented by 6x^(2)+2hxy+y^(2)=0 are in t...
Text Solution
|
If the slope of one line is double the slope of another line of the pa...
Text Solution
|
Assertion (A) : The slopes of one line represented by 2x^(2)–5xy+2y^(2...
Text Solution
|
Statement-I : If two of the lines represented by ax^(3) + bx^(2)y + cx...
Text Solution
|
If the slope of one of the lines represented by ax^(2) + 2hxy + by^(2)...
Text Solution
|
If the slope of one of the lines represented by ax^(2) - 6xy + y^(2) =...
Text Solution
|
If the pairs of lines 3x^(2)-5xy+py^(2)=0 and 6x^(2)-xy-5y^(2)=0 have...
Text Solution
|
Equation of line common to pair of lines (p^(2)-q^(2))x^(2)+(q^(2)-r^(...
Text Solution
|
If 2x^(2)-3xy+y^(2)=0 represents two sides of a triangle and lx + my ...
Text Solution
|
If the line lx+my+n=0 meets the pair of lines 3x^(2)+7xy-5y^(2)=0 at A...
Text Solution
|
The equation of the pair of angular bisectors of the pair of lines xy ...
Text Solution
|
the line y=mx bisects the angle between the pair of ax^(2)-2hxy+by^(2)...
Text Solution
|
If 2x^2-5xy+2y^2=0 represents two equal sides of an isosceless triangl...
Text Solution
|
The lines 36x^(2)-33xy-20y^(2)=0 are equally inclined to the line
Text Solution
|
If 2x + 3y = 7 makes equal angles with pair of lines 9x^(2)+12xy+ky^(2...
Text Solution
|
If the lines ax^(2) + 2hxy + by^(2)= 0 are equally inclined with the c...
Text Solution
|
If the coordinate axes are the bisectors of the angles between the pai...
Text Solution
|
If two lines in 2x^(2)+2(k-1)xy-3y^(2)=0 are equally inclined to axes ...
Text Solution
|