Home
Class 11
MATHS
Show that the length of intercept cut by...

Show that the length of intercept cut by pair of lines `ax^(2)+2hxy+by^(2)+2gx+2fy+c=0` on (i) x-axis is `(2 sqrt(g^(2)-ac))/(|a|)` and (ii) y-axis is `(2 sqrt(f^(2)-bc))/(|b|)`

Text Solution

Verified by Experts

The correct Answer is:
`(2 sqrt(f^(2)-bc))/(|b|)`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE - 4.1 (VERY SHORT ANSWER QUESTIONS)|14 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE - 4.1 (SHORT ANSWER QUESTIONS)|14 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise SOLVED EXAMPLES|32 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

The length of the intercept on the y-axis cut by the pair of lines 2x^(2)+4xy-6y^(2)+3x+y+1=0 is

The length of the intercept on the x-axis cut by the pair of lines 2x^(2)+5xy+3y^(2)+6x+7y+1=0 is

If the pair of lines ax^(2)+2hyx+by^(2)+2gx+2fy+c=0 intersect on the x-axis, then ac=

If the pair of lines ax^(2)+2hyx+by^(2)+2gx+2fy+c=0 intersect on the x-axis, then 2fgh

If the pair of line ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on the y-axis, then

If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y-axis, then 2fgh=

If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y-axis, then bc=

Prove that the aea of the triangle formed by y=x+c and the pair of lines ax^(2)+2hxy=by^(2)=0 is (e^(2)sqrt(h^(2)-ab))/(|a+b+2h|) sq. units.

If ax ^(2) + 2kxy + by ^(2) + 2gx + 2fy + c =0 then (dy)/(dx) =

The intercept made by the circle x^(2)+y^(2)+4x-8y+c=0 on x-axis is 2sqrt(10) then c=