Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.

What is the foot of the normal if the straight line x + y + 7 = 0 is normal to the hyperbola 3x2 – 4y2 = 12 whose normal is at the point (x1, y1)?

A. (4, 3)
B. (-4, 3)
C. (4, -3)
D. (-4, -3)
Answer» E.
Discussion
2.

What is the nature of the straight line x + y + 7 = 0 to the hyperbola 3x2 – 4y2 = 12 whose normal is at the point (x1, y1)?

A. Chord to hyperbola
B. Tangent to hyperbola
C. Normal to hyperbola
D. Segment to hyperbola
Answer» D. Segment to hyperbola
Discussion
3.

What will be the equation of normal to the hyperbola 3x2 – 4y2 = 12 at the point (x1, y1)?

A. 3x1y + 4y1x + 7x1y1 = 0
B. 3x1y + 4y1x – 7x1y1 = 0
C. 3x1y – 4y1x – 7x1y1 = 0
D. 3x1y – 4y1x + 7x1y1 = 0
Answer» C. 3x1y – 4y1x – 7x1y1 = 0
Discussion
4.

What is the equation of the tangent to the parabola y2 = 8x, which is inclined at an angle of 45° with the x axis?

A. x + y – 2 = 0
B. x + y + 2 = 0
C. x – y + 2 = 0
D. x – y – 2 = 0
Answer» D. x – y – 2 = 0
Discussion
5.

What will be the equation of the tangent to the circle x2 + y2 – 6x + 4y – 7 = 0, which are perpendicular to the straight line 2x – y + 3 = 0?

A. x + 2y – 9 = 0
B. x + 2y + 9 = 0
C. x + 2y – 10 = 0
D. x + 2y + 10 = 0
Answer» B. x + 2y + 9 = 0
Discussion
6.

If X and Y are given as current co-ordinates, what is the equation of the tangent at a specific point of x3 – 3axy + y3 = 0 at (x, y)?

A. (x2 – ay)X + (y2 – ax)Y = -2axy
B. (x2 – ay)X + (y2 – ax)Y = 2axy
C. (x2 – ay)X + (y2 – ax)Y = axy
D. (x2 – ay)X + (y2 – ax)Y = -axy
Answer» D. (x2 – ay)X + (y2 – ax)Y = -axy
Discussion
7.

What is the equation of the tangent at a specific point of y2 = 4ax at (0, 0)?

A. x = 0
B. x = 1
C. x = 2
D. x = 3
Answer» B. x = 1
Discussion