Related InterviewSolutions

• Find the (i) lengths of the principal axes (ii) co-ordinates of the foci (iii) equations of directrices (iv) length of the latus rectum (v) distance between foci (vi) distance between directrices of the ellipse:\(\frac {x^2}{25} + \frac {y^2}{9}=1\)x2/25 + y2/9 = 1
• Find the equation of the hyperbola referred to its principal axes: Whose foci are at (±2, 0) and eccentricity is 3/2
• Find the equation of the hyperbola referred to its principal axes: Whose length of transverse axis is 8 and distance between foci is 10. 
• Find the equation of the hyperbola referred to its principal axes: Whose lengths of transverse and conjugate axes are 6 and 9 respectively.
• Find the eccentricity of the hyperbola, which is conjugate to the hyperbola x2 – 3y2 = 3
• Find the equation of the tangent to the parabola y2 = 8x which is parallel to the line 2x + 2y + 5 = 0. Find its point of contact.
• Find the equation of the tangent to the parabola y2 = 8x at t = 1 on it
• Write the coordinates of the focus of parabola x2 – 4x – 8y = 4.
• Find co-ordinates of focus, equation of directrix, length of latus rectum and the coordinates of end points of latus rectum of the parabola: 3x2 = 8y
• Find the centre and radius of the circle x2 + y2 – 4x – 8y – 45 = 0