Home
Class 12
MATHS
If the pair of lines ax^2+2(a+b)xy+by^2=...

If the pair of lines `ax^2+2(a+b)xy+by^2=0` lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sector then

A

`3a^2+2ab+3b^2=0`

B

`3a^2+10ab+3b^2=0`

C

`3a^2-2ab+3b^2=0`

D

`3a^2-10ab+3b^2=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|7 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos

Similar Questions

Explore conceptually related problems

If the pair of lines ax^(2)+2(a+b)xy+by^(2)=0 lie along diameters of a circle and divide the circle into four setors such that the area of one of the sectors is thrice the area of another sector then

Radius of a sector of a circle is 7 cm. If measure of arc of the sector is 30^(@) find the area of the sector

Knowledge Check

  • If the pair of lines ax^(2)+2(a+b)xy+by^(2)=0 lie along diameters of a circle and divide the circle into four section such that the area of one of the sector is thrice theara of another sector then

    A
    `3a^(2)-10ab+3b^(2)=0`
    B
    `3a^(2)-2ab+3b^(2)=0`
    C
    `3a^(2)+10ab+3b^(2)=0`
    D
    `3a^(2)+2ab+3b^(2)=0`

    • Similar Questions

    Explore conceptually related problems

    Find the area of sector of a circle with radius 6cm, if angle of the sector is 60^(@)

    Radius of a sector of a circle is 7 cm. If measure of arc of the sector is three right angles, find the area of the sector in each case.

    Find the area of a sector of a circle with radius 6cm if angle of the sector is 60^(@)

    Radius of a sector of a circle is 3.5 cm and length of its arc is 2.2 cm. Find the area of the sector.

    The radius of a circle is 14 cm and the area of the sector is 102.7 cm^(2) . Find the central angle of the sector.

    Radius of a sector of a circle is 21 cm. If length of arc of that sector is 55 cm, find the area of the sector.

    The ratio of the area of a sector of a circle to the area of the circle is 1:4. If the area of the circle is 154 cm^2 , the perimeter of the sector is

    Home
    Profile