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A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is not a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement-2 is True.

Text Solution

Verified by Experts

The correct Answer is:
A
The locus of the points from which mutually perpendicular tangents can be drawn to the circle `x^(2)+y^(2)=a^(2)` is the circle `x^(2)+y^(2)=2a^(2)`. The circle `x^(2)+y^(2)=2a^(2)` is known as the director circle of `x^(2)+y^(2)=a^(2)`. Thus, if tangents are drawn from any point on the direction circle to the given circle, then the tangents are mutually perpendicular. Hence statement-1 and 2 are true and statement-2 is a correct explanation for statement-1.
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Knowledge Check

  • In a certain collage, the ratio of mathematics majors to English majors is 3:8. If in the following school year the number of mathematics majors increase 20%, and the number of English majors decrease 15%, what is the new ratio of mathematics majors to English majors?

    A
    `4:9`
    B
    `1:2`
    C
    `9:17`
    D
    `17:32`

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    check whether it is statement or not .Do you like mathematics ?

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