Home
Class 11
MATHS
If the pair of lines ax^(2)+2pxy-ay^(2)=...

If the pair of lines `ax^(2)+2pxy-ay^(2)=0, bx^(2)+2qxy-by^(2)=0` are such that each pair bisects the angle between the other pair, then show that `ab+pq=0`

Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED ANALYTICAL SOLVED EXAMPLES|10 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -5.1 VERY SHORT ANSWER QUESTIONS|13 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-1 Homogeneous pair of line) (LEVEL-I Straight Objective Type Questions)|55 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

If the pairs of straight lines x^(2)-2pxy-y^(2)=0 and x^(2)-2qxy-y^(2)=0 be such that each pair bisects the angle between the other pair, then

If the pair of lines x^(2) - 16 pxy - y^(2) = 0 and x^(2) - 16qxy - y^(2) = 0 are such that each pair bisects the angle between the other pair, then qp =

If the pairs of lines 3x^2-2pxy-3y^2=0 and 5x^2-2qxy-5y^2=0 are such that each pair bisects the angle between the pair, then pq equals to

If the paris x^(2)-2pxy-y^(2)=0 and x^(2)-2qxy-y^(2)=0 are such that one pair bisects the angle between the other and p=3 then q=

If the pair of lines 3x^(2)+14xy+8y^(2)=0 and 2x^(2)+5xy-12y^(2)=0 have a common line then angle between other two lines is

The pair of lines a^(2)x^(2)+2h(a+b)xy+b^(2)y^(2)=0 and ax^(2)+2hxy+by^(2)=0 are

If the two pair of lines 2x^(2)+6xy+y^(2)=0 and 4x^(2)+18xy+by^(2)=0 are equally inclined to each other then b=

If the pair of lines a^(2)(x^(2)+y^(2))=(ax-by)^(2) are perpendicular to each other, then

Show that the pair of lines 3x^(2)-5xy+2y^(3)=0 9x^(2)-25xy+4y^(2)=0 are equally inclined to each other.