- QUESTION
Given below are two statements
Statement I=If two chords XY and ZT of a circle intersects internally at point P, then PX-PYPZ-PT
Statement II =If two chords XY and ZT of a circle intersect internally at point P, then PXZ and PTY are similar triangles
In the light of the above statements, choose the correct answer from the options given below:
A)Both Statement I and Statement II are true
B)Both Statement i and Statement II are false
C)Statement I is true but Statement II is false
D)Statement I is false but Statement II is true
Explanation
(A)
= Both Statement I and Statement II are true
QUESTION-2
The graphs of ax+by = c, dx+ey = f will be,
- Parallel if the system has no solution
- Coincident if the system has finite number of solutions
- Intersecting if the system has two solutions
- Intersecting if the system has only one solution
A)A and B only
B)B and C only
C)A and D only
D)B and D only
Explanation
(C)
The graphs of the equations \( ax+by = c \) and \( dx+ey = f \) represent lines in the coordinate plane. Here’s how their relationship corresponds to the given options:
(A) Parallel lines occur when the slopes of the lines are equal but the y-intercepts are different. If the system has no solution, it means the lines are parallel because they never intersect.
(B) Coincident lines occur when the equations represent the same line. If the system has a finite number of solutions, it means the lines coincide at some point(s) but are not parallel.
(C) Intersecting lines occur when the lines intersect at a single point. If the system has two solutions, it means the lines intersect at two distinct points.
(D) Intersecting lines can also occur when the lines intersect at a single point. If the system has only one solution, it means the lines intersect at one unique point.
= A and D only
Leave a Reply