>
Exams
>
Mathematics
>
Circle
>
a circle passes through 0 0 and 1 0 and touches th
Question:
A circle passes through (0, 0) and (1, 0) and touches the circle x
2
+ y
2
= 9. Then the locus of the centre of the circle is:
JEE Main
Updated On:
Nov 21, 2025
Circle
Parabola
Hyperbola
Straight line
Hide Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
The Correct answer is option is (A) : Circle
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Circle
If the equation of the circle having the common chord to the circles $$ x^2 + y^2 + x - 3y - 10 = 0 $$ and $$ x^2 + y^2 + 2x - y - 20 = 0 $$ as its diameter is $$ x^2 + y^2 + \alpha x + \beta y + \gamma = 0, $$ then find $ \alpha + 2\beta + \gamma $.
AP EAPCET - 2025
Mathematics
Circle
View Solution
If $ r_1 $ and $ r_2 $ are radii of two circles touching all the four circles $$ (x \pm r)^2 + (y \pm r)^2 = r^2, $$ then find the value of $$ \frac{r_1 + r_2}{r}. $$
AP EAPCET - 2025
Mathematics
Circle
View Solution
If the line $$ 4x - 3y + 7 = 0 $$ touches the circle $$ x^2 + y^2 - 6x + 4y - 12 = 0 $$ at $ (\alpha, \beta) $, then find $ \alpha + 2\beta $.
AP EAPCET - 2025
Mathematics
Circle
View Solution
Find the equation of the circle which passes through the points $ (1,2) $, $ (4,3) $ and has its center on the line $ x + y = 5 $.
BITSAT - 2025
Mathematics
Circle
View Solution
The slope of the common tangent drawn to the circles $$ x^2 + y^2 - 4x + 12y - 216 = 0 $$ and $$ x^2 + y^2 + 6x - 12y + 36 = 0 $$ is:
AP EAPCET - 2025
Mathematics
Circle
View Solution
View More Questions
Questions Asked in JEE Main exam
Among Sc, Ti, Mn and Co, calculate the spin-only magnetic moment in the \( +2 \) oxidation state of the metal having the highest heat of atomisation.
JEE Main - 2025
Magnetic moment
View Solution
Let \( S \) be the set of all the words that can be formed by arranging all the letters of the word GARDEN. From the set \( S \), one word is selected at random. The probability that the selected word will NOT have vowels in alphabetical order is:
JEE Main - 2025
Probability
View Solution
The variance of the numbers 8, 21, 34, 47, \dots, 320, is:
JEE Main - 2025
Arithmetic Progression and Variance
View Solution
Two water drops each of radius \( r \) coalesce to form a bigger drop. If \( T \) is the surface tension, the surface energy released in this process is:
JEE Main - 2025
Surface Tension
View Solution
Match List - I with List - II:
List - I
: (A) \( {[MnBr}_4]^{2-} \)
(B) \( {[FeF}_6]^{3-} \)
(C) \( {[Co(C}_2{O}_4)_3]^{3-} \)
(D) \( [Ni(CO)_4] \)
List - II
: (I) \( d^2sp^3 \) & diamagnetic
(II) \( sp^2d^2 \) & paramagnetic
(III) \( sp^3 \) & diamagnetic
(IV) \( sp^3 \) & paramagnetic
Choose the correct answer from the options given below:
JEE Main - 2025
Organic Chemistry
View Solution
View More Questions