Home
Class 12
MATHS
Find the eccentricity, length of latus r...

Find the eccentricity, length of latus rectum, centre, foci, vertices and the equatioin to the dircctriccs of the hyperola.
(i) `4x^(2)-5y^(2)-16x+10y+31=0`
(ii) `5x^(2)-4y^(2)+20x+8y-4=0`
(iii) `4(y+3)^(2)-9(x-2)^(2)=1`
(iv) `4x^(2)-9y^(2)-8x-32=0`

Text Solution

Verified by Experts

The correct Answer is:
(i) 0 (ii) 3x+10-0 (iii) `y=-3 pm (3)/(2sqrt13)`(iv) `x=1 pm (9)/sqrt(13)`
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -5.2 (Very Short Answer Questions)|4 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -5.2 (Short Answer Questions)|4 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -5.1 (Short Answer Questions)|3 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

Similar Questions

Explore conceptually related problems

Find the eccentricity foci,length of latus rectum and equation of directrices of the ellipses 4x^2+y^2-8x+2y+1=0

Find the eccentricity and length of the latus rectum of the hyperbola (i) 4x^(2) - 9y^(2) = 27 (ii) x^(2) - 9y^(2) = 27

Find the centre eccentricity, foci, directrices and length of the lotus rectum of the hyperbolas. 4x^(2)-9y^(2)-8x-32=0

Find the centre, foci, eccentricity equation of the directrices, length of the latus rectum of the hyperbola. x^(2)-4y^(2)=4

Find the centre, eccentricity, foci directrices and the length of the latus rectum of the following hyperbolas (i) 4x^(2) - 9y^(2) - 8x - 32 = 0 (ii) 4(y + 3)^(2) + 9(x - 2)^(2) = 1

Find the centre, foci, eccentricity equation of the directrices, length of the latus rectum of the hyperbola. 5x^(2)-4y^(2)+20x+8y=4

The length of the latus rectum of the hyperbola 9x^(2) -16y^(2) +72x -32y- 16 =0 is

Find the centre, foci, eccentricity equation of the directrices, length of the latus rectum of the hyperbola. 9x^(2)-16y^(2)+72x-32y-16=0

The length of the transverse axis of the hyperbola 4x^(2) -9y^(2) +8x + 40 =0 is