The coordinates of a moving point p are ...

The coordinates of a moving point p are `(2t^(2) + 4, 4t+6)`. Then its locus will be a

circle

straight line

parabola

ellipse

Text Solution

Verified by Experts

Topper's Solved these Questions

QUESTION PAPER 2010
WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QEUSTIONS|10 Videos
QUESTION PAPER 2012
WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

The coordinates of a moving point P are (2t^(2) + 4, 4t + 6) , show that the locus of P is a parabola.

The coordinates of a moving point P are (at^(2),2at) , where t is a variable parameter . Find the equation to the locus of P.

For all values of theta , the coordinates of a moving point P are (acostheta,asintheta) , the locus of P will be a-

The coordinates of a moving point P are (ct+(c)/(t),ct-(c)/(T)) , where t is a variable parameter . Find the equation to the locus of P.

The coordinates of moving point P are ((2t+1)/(3t-2),(t-1)/(t+1)) , where t is a variable parameter . Find the equation to the locus of P.

The coordinates of a moving point P are [6sectheta ,8tantheta] where theta is a variable parameter . Show that equation to the locus of P is (x^(2))/(36)-(y^(2))/(64)=1 .

If the co-ordinates of a variable point P be (t +1/t, t - 1/t) where t is the variable quantity, then the locus of P is :

For all values of theta , the coordinates of a moving point P are (acostheta,bsintheta) , find the equation to the locus of P.

The equations of motion of a rocket are x=2t ,y=-4ta n dz=4t , where time t is given in seconds, and the coordinates of a moving points in kilometers. What is the path of the rocket? At what distance will be the rocket from the starting point O(0,0,0) in 10 s ?

The coordinates of the points A and B are (2,4) and (2,6) respectively . The point P is on that side of AB opposite to the origin . If PAB be an equilateral triangle , find the coordinates of P.

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2011-MULTIPLE CHOICE QUESTIONS

The length of the latus rectum of the ellipse 16x^(2) + 25y^(2) = 400 ...
Text Solution
|
The vertex of the parabola y^(2) + 6x -2y + 13=0 is:
Text Solution
|
The coordinates of a moving point p are (2t^(2) + 4, 4t+6). Then its l...
Text Solution
|
The equation 8x^2+12y^2-4x + 4y-1=0 represents
Text Solution
|
If the straight line y=mx lies outside of the circle x^(2)+ y^(2) - 20...
Text Solution
|
The locus of the centre of a circle which passes through two variable ...
Text Solution
|
The coordinates of the two points lying on x + y = 4 and at a unit dis...
Text Solution
|
The intercept oil the line y = x by the circle x^2 + y^2 - 2x = 0 is A...
Text Solution
|
If the coordinates of one end of a diameter of the circle x^(2) + y^(2...
Text Solution
|
If the three points A(1,6), B(3,-4) and C(x,y) collinear then the equ...
Text Solution
|
If sin theta = (2t)/(1+t^(2)) and theta lies in the second quadrant, t...
Text Solution
|
The solution set of the inequation cos^(-1)x lt sin^(-1)x is:
Text Solution
|
The number of solutions of 2 sinx + cosx =3 is:
Text Solution
|
Let tan alpha = a/(a+1) and tan beta =1/(2a +1), then alpha + beta is:
Text Solution
|
If theta + phi =pi//4, then (1+tan theta)(1+tan phi) is equal to:
Text Solution
|
If sin theta and cos theta are the roots of the equation ax^2 - bx +...
Text Solution
|
If A and B are two matrices such that A + B and AB are both defined, t...
Text Solution
|
If A=[{:(3,x-1),(2x+3, x+2):}] is a symmetric matrix, then the value o...
Text Solution
|
If Z=|{:(1,1+2i , 5i),(1-2i, -3, 5+3i),(5i, 5-3i, 7):}|, then (i =sqrt...
Text Solution
|
The equation of the locus of the point of intersection of the straight...
Text Solution
|