Home
Class 12
MATHS
Though what angle should the axes be rot...

Though what angle should the axes be rotated so that the equation `9x^2 -2sqrt3xy+7y^2=10` may be changed to `3x^2 +5y^2=5`?

Text Solution

Verified by Experts

The correct Answer is:
`theta = 60^(@)`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

Though what angle should the axes be rotated so that the equation 9x^(2)-2sqrt(3)xy+7y^(2)=10 may be changed to 3x^(2)+5y^(2)=5?

Given the equation 4x^(2)+2sqrt(3)xy+2y^(2)=1 Through what angle should the axes be rotated so that the term xy is removed from the transformed equation.

The angle through which the coordinates axes be rotated so that xy-term in the equation 5x^(2)+4sqrt(3)xy+9y^(2)=0 may beb missing, is

Given the equation 4x^(2)+2sqrt(3)xy+2y^(2)=1 , through what angle should the axes be rotated so that the term in xy be wanting from the transformed equation.

The angle between the lines represented by the equation 2x^2+3xy-5y^2=0 , is

The angle through which the axes be rotated so as to remove the term containing xy in the equation 7x^(2)-4xy+4y^(2)=5 is

By rotating the coordinates axes through 30^(@) in anticlockwise sense the eqution x^(2)+2sqrt(3)xy-y^(2)=2a^(2) change to

The angle of rotation of the axes so that the equation x+y-6=0 may be reduced the form X = 3 sqrt2 is (i)pi/6 (ii)pi/4 (iii)pi/3 (iv)pi/2

The value of k so that the equation 12x^(2)-10xy+2y^(2)+11x-5y+k=0 represents a pair of lines is -2 (b) 2(c)7 (d) -7