MCQExams
0:0:1
CBSE
JEE
NTSE
NEET
Practice
Homework
×
JEE Questions for Maths Conic Section Quiz 15 - MCQExams.com
JEE
Maths
Conic Section
Quiz 15
Report Question
0%
0%
2)
0%
0%
Report Question
0%
0%
2)
0%
0%
Report Question
0%
0%
2)
0%
0%
Report Question
0%
b and d
0%
b only
0%
c only
0%
a only
Report Question
0%
a, b and d
0%
a and b
0%
a and c
0%
a and d
Report Question
0%
a and b
0%
a and d
0%
a and c
0%
c only
Let A and B be two distinct points on the parabola y
2
= 4x. If the axis of the parabola touches a circle of radius r having AB as its diameter, then the slope of the line joining A and B can be
Report Question
0%
c and d
0%
c only
0%
b only
0%
d only
Consider a circle with its centre lying on the focus of the parabola y
2
= 2px such that it touches the directrix of the parabola. Then, a point of intersection of the circle and the parabola is
Report Question
0%
a and d
0%
a only
0%
b only
0%
c only
The tangent PT and the normal PN to the parabola y
2
= 4ax at a point P on it meet its axis at points T and N respectively. The locus of the centroid of the triangle PTN is a parabola whose
Report Question
0%
a and d
0%
d only
0%
a only
0%
c only
Report Question
0%
a and b
0%
b only
0%
c only
0%
d only
Report Question
0%
b and c
0%
b only
0%
c only
0%
d only
On the ellipse 4x
2
+ 9y
2
= 1, the points at which the tangents are parallel to the line 8x = 9y are
Report Question
0%
b and d
0%
b only
0%
d only
0%
c only
Report Question
0%
a and b
0%
b only
0%
c only
0%
d only
Report Question
0%
a and c
0%
c only
0%
d only
0%
b only
Report Question
0%
a and b
0%
a and d
0%
c only
0%
a, b, c, d
Report Question
0%
a and b
0%
b only
0%
c only
0%
d only
Report Question
0%
Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1
0%
Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
0%
Statement 1 is true, statement 2 is false
0%
Statement 1 is false, statement 2 is true
Report Question
0%
Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1
0%
Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
0%
Statement 1 is true, statement 2 is false
0%
Statement 1 is false, statement 2 is true
Report Question
0%
0%
2)
0%
0%
Report Question
0%
0%
2)
0%
0%
Report Question
0%
0%
2)
0%
0%
Report Question
0%
0%
2)
0%
0%
Report Question
0%
0%
2)
0%
0%
Consider the circle x
2
+ y
2
= 9 and the parabola y
2
= 8x. They intersect at P and Q in the first and the fourth quadrants, respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents to the parabola at P and Q intersects the x-axis at S. The ratio of the areas of the triangle PQS and PQR is
Report Question
0%
1: √2
0%
1:2
0%
1:4
0%
1:8
Consider the circle x
2
+ y
2
= 9 and the parabola y
2
= 8x. They intersect at P and Q in the first and the fourth quadrants, respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents to the parabola at P and Q intersects the x-axis at S. The radius of the circumcircle of the triangle PRS is
Report Question
0%
5
0%
3√3
0%
3√2
0%
2√3
Consider the circle x
2
+ y
2
= 9 and the parabola y
2
= 8x. They intersect at P and Q in the first and the fourth quadrants, respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents to the parabola at P and Q intersects the x-axis at S. The radius of the incircle of the triangle PQR is
Report Question
0%
4
0%
3
0%
8/3
0%
2
Report Question
0%
2
0%
3
0%
4
0%
5
Report Question
0%
1
0%
2
0%
3
0%
4
Report Question
0%
4
0%
3
0%
2
0%
1
In this section each question has some statements (A, B, C, D,…) given in column I and some statements (p, q, r, s, t,…) in column II. Any given statement in column I can have correct matching with one or more statement(s) in column II. For example, if a given question, statement B matches with the statements given in q and r, then for that particular question against statement B, darken the bubbles corresponding to q and r in the ORS. i.e., answer will be q and r
Report Question
0%
A→p; B→s, t; C→r’ D→q, s
0%
A→p; B→q; C→r; D→s
0%
A→q; B→s; C→p; D→r
0%
A→r; B→q; C→s; D→t
Report Question
0%
Ellipse
0%
Hyperbola
0%
Parabola
0%
None of these
Report Question
0%
0%
2)
0%
0%
Report Question
0%
A circle whose centre is (1, 1)
0%
A parabola whose focus is (1, 2)
0%
A parabola whose directrix is x = 3/2
0%
A parabola whose directrix is x = –1/2
Report Question
0%
0%
2)
0%
0%
Report Question
0%
A pair of straight lines
0%
An ellipse
0%
A parabola
0%
A hyperbola
The length of the chord of the parabola y
2
= 4ax, which passes through the vertex and makes an angle θ with the axis of the parabola is
Report Question
0%
0%
2)
0%
0%
if the tangents at P and Q on a parabola meet in T, then SP, ST and SQ are in
Report Question
0%
A.P
0%
G.P
0%
H.P
0%
None of these
The angle between tangents to the parabola y
2
= 4ax at the points where it intersects with the line x – y – a = 0 is
Report Question
0%
0%
2)
0%
0%
The tangents drawn from the ends of latus rectum of y
2
= 12x meets at
Report Question
0%
Directrix
0%
Vertex
0%
Focus
0%
None of these
If the tangent and normal at any point P of a parabola meet the axes in T and G respectively, then
Report Question
0%
ST ≠ SG = SP
0%
ST = SG ≠ SP
0%
ST = SG = SP
0%
ST = SG.SP
Report Question
0%
0%
2)
0%
0%
Three normals to the parabola y
2
= x are drawn through a point (C, O), then
Report Question
0%
0%
2)
0%
0%
None of these
the product of the perpendiculars drawn from any point on a hyperbola to its asymptotes is
Report Question
0%
0%
2)
0%
0%
The length of the subnormal to the parabola y
2
= 4ax at any point is equal to
Report Question
0%
0%
2)
0%
0%
2a
Report Question
0%
An ellipse
0%
A hyperbola
0%
A circle
0%
An imaginary ellipse
Report Question
0%
3
0%
3.5
0%
4
0%
√12
Report Question
0%
0%
2)
0%
0%
Report Question
0%
12 sq. unit
0%
48 sq. unit
0%
64 sq. unit
0%
24 sq. unit
The equation of an ellipse, whose vertices are (2, –2), (2,and eccentricity 1/3 is
Report Question
0%
0%
2)
0%
0%
Report Question
0%
0%
2)
0%
0%
0:0:1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
0
Answered
0
Not Answered
0
Not Visited
Correct : 0
Incorrect : 0
Report Question
×
What's an issue?
Question is wrong
Answer is wrong
Other Reason
Want to elaborate a bit more? (optional)
Practice Maths Quiz Questions and Answers
<
>
Support mcqexams.com by disabling your adblocker.
×
Please disable the adBlock and continue.
Thank you.
Reload page
