Sets Relations And Functions — Mathematics

Test your limits with our Elite Pro-Vault Questions for mathematics

Question 1
MediumJEE

The locus of the foot of the perpendicular drawn from the focus to any tangent of a parabola is the:

A. Tangent at the vertex
B. Directrix
C. Latus rectum
D. Axis
Question 2
MediumJEE

The angle between the tangents drawn at the extremities of the latus rectum of a parabola is:

A. 90°
B. 45°
C. 60°
D. 180°
Question 3
EasyJEE

Theparametriccoordinatesofapointontherectangularhyperbolaxy=c2are:The parametric coordinates of a point on the rectangular hyperbola xy = c² are:

A. (ct,c/t)(ct, c/t)
B. (ccos⁡t,csin⁡t)(c \cos t, c \sin t)
C. (csec⁡t,ctan⁡t)(c \sec t, c \tan t)
D. (ct², 2ct)

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