Select Goal &
City
Select Goal
Search for Colleges, Exams, Courses and More..
Write a Review
Get Upto ₹500*
Explore
Explore More
Study Abroad
Get upto 50% discount on Visa Fees
Top Universities & Colleges
Abroad Exams
Top Courses
Exams
Read College Reviews
News
Admission Alerts 2024
Education Loan
Institute (Counselling, Coaching and More)
Ask a Question
College Predictor
Test Series
Practice Questions
Course Finder
Scholarship
All Courses
B.Tech
MBA
M.Tech
MBBS
B.Com
B.Sc
B.Sc (Nursing)
BA
BBA
BCA
Course Finder
No Data Found
>
Exams
>
Mathematics
>
Coordinate Geometry
>
if a curve passes through the point 1 1 at any poi
Question:
If a curve passes through the point (1, 1) at any point (x, y) on the curve, the product of the slope of its tangent and x co-ordinate of the point is equal to the y co-ordinate of the point, then the curve also passes through the point
KCET - 2023
KCET
Updated On:
Apr 17, 2024
(-1, 2)
(2, 2)
\((\sqrt3,0)\)
(3, 0)
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The correct answer is (B) : (2, 2).
Download Solution in PDF
Was this answer helpful?
3
0
Top Questions on Coordinate Geometry
Let A
1
, B
1
, C
1
be three points in the xy -plane. Suppose that the lines A
1
C
1
and B
1
C
1
are tangents to the curve y
2
= 8x at A
1
and B
1
, respectively. If O = (0,0) and C
1
= −( 4, 0), then which of the following statements is (are) TRUE ?
JEE Advanced - 2024
Mathematics
Coordinate Geometry
View Solution
Let
\(S=\left\{(x,y)\in\R\times\R:x\ge0,y\ge0,y^2\le12-2x\ \text{and}\ 3y+\sqrt8\ x\le5\sqrt8\right\}\)
. If the area of the region S is
\(\alpha\sqrt2\)
, then α is equal to
JEE Advanced - 2024
Mathematics
Coordinate Geometry
View Solution
Let the straight line y = 2x touch a circle with center (0, α), α > 0, and radius r at a point A
1
. Let B
1
be the point on the circle such that the line segment A
1
B
1
is a diameter of the circle. Let
\(α+r=5+\sqrt5\)
.
Match each entry in List-I to the correct entry in List-II.
List - I
List - II
(P)
α equals
(1)
(-2, 4)
(Q)
r equals
(2)
\(\sqrt5\)
(R)
A
1
equals
(3)
(-2, 6)
(S)
B
1
equals
(4)
5
(5)
(2, 4)
The correct option is
JEE Advanced - 2024
Mathematics
Coordinate Geometry
View Solution
The area of a triangle with vertices(-3,0),(3, 0) and (0, k) is 9 sq.units, the value of k is
KCET - 2023
Mathematics
Coordinate Geometry
View Solution
A triangle is formed by the tangents at the point
\((2,2)\)
on the curves
\(𝑦^2=2𝑥\)
and
\(𝑥^2+𝑦^2=4𝑥\)
, and the line
\(𝑥+𝑦+2=0\)
. If
\(𝑟\)
is the radius of its circumcircle, then
\(𝑟^2\)
is equal to ____ .
JEE Main - 2023
Mathematics
Coordinate Geometry
View Solution
View More Questions
Questions Asked in KCET exam
A cubical Gaussian surface has side of length a = 10 cm. Electric field lines are parallel to x-axis as shown. The magnitudes of electric fields through surfaces ABCD and EFGH are 6kNC
-1
and 9kNC
-1
respectively. Then the total charge enclosed by the cube is
[Take ε
0
= 9 × 10
-12
Fm
-1
]
KCET - 2023
Gauss Law
View Solution
A sample of water is found to contain 5.85%
\((\frac{w}{w})\)
of AB (molecular mass 58.5) and 9.50%
\((\frac{w}{w})\)
XY
2
(molecular mass 95). Assuming 80% ionisation of AB and 60% ionisation of XY
2
, the freezing point of water sample is
[Given : K
f
for water 1.86 K kg mol
-1
, Freezing point of pure water is 273 K and A, B and Y are monovalent ions]
KCET - 2023
Colligative Properties
View Solution
\(aMnO^{-}_4+bS_2O_{3}^-+H_2O\rightarrow xMnO_2+ySO_{4}^-+zOH^-\)
a and y respectively are
KCET - 2023
Redox reactions
View Solution
\(\int\sqrt{\cosec x-\sin x}\ dx=\)
KCET - 2023
Definite Integral
View Solution
A metallic rod of length 1 m held along east-west direction is allowed to fall down freely. Given horizontal component of earth’s magnetic field B
H
= 3 × 10
-5
T. The emf induced in the rod at an instant t = 2s after it is released is ( Take g = 10 ms
-2
)
KCET - 2023
Faradays laws of induction
View Solution
View More Questions