Related InterviewSolutions

• The foci of the hyperbola `4x^(2)-9y^(2)-1=0` areA. `(+-sqrt(13),0)`B. `(+-sqrt(13)/6,0)`C. `(0,+-sqrt(13)/6)`D. None of these
• What is the locus of points, the difference of whose distances from two points being constant ?A. Pair of straight linesB. An ellipseC. A hyperbolaD. A parabola
• What is the eccentricity of the conic `4x^(2)+9y^(2)=144`?A. `sqrt5/3`B. `sqrt5/4`C. `3/sqrt5`D. `2/3`
• The eccentricity e of an ellipse satisfies the condition :A. `elt0`B. `0ltelt1`C. `e=1`D. `egt1`
• The sum of focal distances of a point on the ellipse `x^(2)/4+y^(2)/9=1` is:A. 4 unitsB. 6 unitsC. 8 unitsD. 10 units
• Consider the parabola `y=x^(2)+7x+2` and the straight line `y=3x-3`. The two parabolas `y^(2)=4ax" and "x^(2)=4ay` intersectA. at two points on the line y = xB. only at the originC. at three points one of which lies on y + x = 0D. only at (4a, 4a)
• Consider the parabola `y=x^(2)+7x+2` and the straight line `y=3x-3`. The sum of the focal distances of a point on an ellipse is constant and equal to theA. length of equal to theB. length of major axisC. length of major axisD. length of latus rectum
• Consider the parabola `y=x^(2)+7x+2` and the straight line `y=3x-3`. The equation of the ellipse whose centre is at origin, major axis is along x-axis with eccentricity `3/4` and latus rectum 4 units isA. `x^(2)/1024+(7y^(2))/64=1`B. `(49x^(2))/1024+(7y^(2))/64=1`C. `(7x^(2))/1024+(49y^(2))/64=1`D. `(x^(2))/1024+(49y^(2))/64=1`
• Consider the parabola `y=x^(2)+7x+2` and the straight line `y=3x-3`. What is equation of the ellipse having foci `(+-2, 0)` the eccentricity `1/4` ?A. `x^(2)/64+y^(2)/60=1`B. `x^(2)/60+y^(2)/64=1`C. `x^(2)/20+y^(2)/24=1`D. `x^(2)/24+y^(2)/20=1`
• If the latusrectum of anellipse is equal to half of minor axis, find its eccentricity.A. `1/2`B. `sqrt3`C. `sqrt3//2`D. `1/sqrt2`