BITSAT 2024 | Circle Question 1 | Mathematics

The locus of the point of intersection of the lines $ x=a\left(\frac{1-t^{2}}{1+t^{2}}\right) $ and $ y=\frac{2 a t}{1+t^{2}} $ represent $ (t $ being a parameter)

Circle

Parabola

Ellipse

Hyperbola

BITSAT 2024

MCQ (Single Correct Answer)

-1

The locus of the mid-point of a chord of the circle $ x^{2}+y^{2}=4 $, which subtends a right angle at the origin is

$ x+y=2 $

$ x^{2}+y^{2}=1 $

$ x^{2}+y^{2}=2 $

$ x+y=1 $

BITSAT 2023

MCQ (Single Correct Answer)

-1

If the straight line $$y=m x+c$$, touches the circle $$x^2+y^2=a^2$$ at a point, then $$c^2$$ is

$$m^2\left(1-a^2\right)$$

$$m^2\left(1+a^2\right)$$

$$a^2\left(1-m^2\right)$$

$$a^2\left(1+m^2\right)$$

BITSAT 2023

MCQ (Single Correct Answer)

-1

A normal is drawn at the point $$P$$ to the circle $$x^2+y^2=25$$, which is inclined at $$45^{\circ}$$ with the straight line $$y=6$$. Then, the point lies on the straight line

$$y=x$$

$$y=-x$$

$$y=\sqrt{3} x$$

$$\sqrt{3} y=x$$

Questions Asked from MCQ (Single Correct Answer)

BITSAT 2024 (2) BITSAT 2023 (3) BITSAT 2022 (1) BITSAT 2021 (1)

BITSAT Subjects

English Proficiency

Logical Reasoning

Verbal

Direction Sense Test Analogy Classification Series Completion Blood Relations Logical Deduction Logic Chart

Non Verbal

Completion of Figure Figure Formation Paper Folding and Cutting Figure Matrix Rule Detection Mirror Image