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

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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
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r > 1
r < 3
1 < r < 3
none of these
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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
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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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Discussion

good conceptual questions

4503 days 23 hours 13 minutes ago

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