Conic Section Test

Result

Conic Section Test - 73

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

A

B

C

D

Solution
Question 4
4 / -1

Consider the circle x² + y² = 9 and the parabola y² = 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

A
1: √2

B
1:2

C
1:4

D
1:8

Solution
Question 5
4 / -1

Consider the circle x² + y² = 9 and the parabola y² = 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

A
5

B
3√3

C
3√2

D
2√3

Solution
Question 6
4 / -1

Consider the circle x² + y² = 9 and the parabola y² = 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

A
4

B
3

C
8/3

D
2

Solution
Question 7
4 / -1

A
2

B
3

C
4

D
5

Solution
Question 8
4 / -1

A
1

B
2

C
3

D
4

Solution
Question 9
4 / -1

A
4

B
3

C
2

D
1

Solution
Question 10
4 / -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

A
A→p; B→s, t; C→r’ D→q, s

B
A→p; B→q; C→r; D→s

C
A→q; B→s; C→p; D→r

D
A→r; B→q; C→s; D→t

Solution