Consider two curves C_1 : y^2 = 2x and C_2 : x^2 + y^2 -3x + 2 = … - Vidyadip

MCQ

Consider two curves $C_1 : y^2 = 2x$ and $C_2 : x^2 + y^2 -3x + 2 = 0$, then

A
$C_1$ and $C_2$ touch each other only at one point
B
$C_1$ and $C_2$ touch each other exactly at two points
C
$C_1$ and $C_2$ intersect (but do not touch) at exactly two points
✓
$C_1$ and $C_2$ neither intersect nor touch each other

✓

Answer

Correct option: D.

$C_1$ and $C_2$ neither intersect nor touch each other

d

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 11 - 10.1 circle and system of circle→STD 11 - 10.1 circle and system of circle — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

The term without $x$ in the expansion of $(2\text{x}-\frac{1}{2\text{x}^{2}}\Big)^{12}$ is:

Let a triangle be bounded by the lines $L _{1}: 2 x +5 y =10$; $L _{2}:-4 x +3 y =12$ and the line $L _{3}$, which passes through the point $P (2,3)$, intersect $L _{2}$ at $A$ and $L _{1}$ at $B$. If the point $P$ divides the line-segment $A B$, internally in the ratio $1: 3$, then the area of the triangle is equal to

For any three sets $A, B$ and $C:$

If $A = \{1, 2, 3, 4, 5, 6\}, B = \{2, 4, 6, 8\},$ then $A - B$ will be:

Let $z_0$ be a root of the quadratic equation, $x^2 + x + 1= 0.$ If $z = 3 + \,6iz_0^{81}\, - 3iz_0^{93}, $ then arg $z$ is equal to

Consider the following two statement.

Statement $p$ : The value of $sin\,120^o$ can be divided by taking $\theta\, = 240^o$ in the equation $2\,\sin \frac{\theta }{2} = \sqrt {1 + \sin \theta } - \sqrt {1 - \sin \theta } $

Statement $q$ : The angles $A, B, C$ and $D$ of any quadrilateral $ABCD$ satisfy the equation $\cos \left( {\frac{1}{2}\left( {A + C} \right)} \right) + \cos \left( {\frac{1}{2}\left( {B + D} \right)} \right) = 0$

Then the truth values of $p$ and $q$ are respectively.

Which one of the following is a tautology?

If the line $x - 2y = k$ cuts off a chord of length $2$ from the circle ${x^2} + {y^2} = 3$, then $k =$

If $\sin \theta+\cos \theta=\frac{1}{2}$, then $16(\sin (2 \theta)+\cos (4 \theta)+\sin (6 \theta))$ is equal to:

A point equidistant from the points $(2, 0)$ and $(0, 2)$ is