Loci

The locus of a point P about another point O such that its distance from O is constant is ________

• a line passing through O

• a circle with centre O

• two parallel line equidistance from O

• a curve with O in it

Locus of a point P equidistant from a fixed line and fixed point F is _____________

• Hyperbola

• Ellipse

• Parabola

• Circle

Locus of the point P such that the sum of distances from two fixed points is always constant is __________

• Hyperbola

• Parabola

• Cycloid

• Ellipse

A regular cone is placed on V.P on its base a section plane is parallel to H.P and section plane is 2cm away from the axis the section will be ____________

• Hyperbola

• Circle

• Triangle

• Ellipse

Which of the following is the eccentricity for an ellipse?

• 1

• 3/5

• 5/3

• 5

Which of the following is the eccentricity for an parabola?

• 1

• 2/3

• 3/2

• 5/4

Which of the following is the eccentricity for an hyperbola?

• 1

• 5/4

• 4/5

• 3/4

. Steps are given to draw a normal and a tangent to the ellipse at a point Q on it. Arrange the steps.

i. Draw a line ST through Q and perpendicular to NM.

ii. ST is the required tangent.

iii. Join Q with the foci F1 and F2.

iv. Draw a line NM bisecting the angle between the lines drawn before which is normal.

• i, ii, iii, iv

• ii, iv, i, iii

• iii, iv, i, ii

• iii, iv, i, ii

Which of the following constructions use parabolic curves?

• Man-holes

• Light reflectors

• Cooling towers

• Water channels

In the general method of drawing an ellipse, after parting the line joining the directrix and the focus, a _____ is made.

• Tangent

• Vertex

• Normal

• Perpendicular bisector