# IIT JEE / PMT Test Series : Module 10 : +1 : Mathematics : 3 D Geometry & Conics


a2 = b2
a2 > b2
a2 < b2
none of these
Normal type of MCQ with one correct option The focus of the parabola x2 ( 8x + 2y + 7 = 0 is
Normal type of MCQ with one correct option The foci of an ellipse are (0, (1) and minor axis is of unit length. The equation of the ellipse is
2x2 + y2 = 2
x2 + 2y2 = 2
4x2 + 20 y2 = 5
20 x2 + 4y2 = 5

r > 1
r < 3
1 < r < 3
none of these

A
A,D
D
A,B & D
Comprehension Conic possesses enormous properties which can be proved by taking their standard forms. Unlike circle these properties rarely follow by geometrical considerations. Most of the properties of conics are proved analytically. For example, the properties of a parabola can be proved by taking its standard equation y2 = 4ax and a point (at2, 2at) on it. If the tangent and normal at any point P on the parabola whose focus is T, meets its axis in T and G then
PG = PT
S is mid- point of T and G
ST =2SG
none of these
Comprehension Conic possesses enormous properties which can be proved by taking their standard forms. Unlike circle these properties rarely follow by geometrical considerations. Most of the properties of conics are proved analytically. For example, the properties of a parabola can be proved by taking its standard equation y2 = 4ax and a point (at2, 2at) on it. The angle between the tangents drawn at the extremities of a focal chord must be
300
600
900
None of these

300
600
900
None of these

Both A and R are true and R is correct explanation of A
Both A and R are true and R is not correct explanation of A
A is true, R is false
A is false, R is true
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Brilliant Institute of Advance Studies, Chandigarh offers a complete test series for IIT JEE and PMT preparation for FREE at WiZiQ.com. This series constitutes 11 modules of each subjects +1 and +2 of all subjects Physics, Chemistry, Mathematics and Biology. The pattern of each test comprises all the types of objective questions of IIT JEE and AIPMT (MCQ with one or more correct option, Comprehension, Assertion-Reason, Match Matrix etc). This is the FREE Module test 10 of +1 Mathematics; the covered chapter is Conics. Keep checking for Exclusive Paid Test series for IIT JEE and AIPMT from us at a very nominal cost at WiZiQ.com Happy Learning; all the best!

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