मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Choose the correct alternative:Which of the following equation is the locus of (at2, 2at) - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:
Which of the following equation is the locus of (at2, 2at)

पर्याय

  • `x^2/"a"^2 - y^2/"b"^2` = 1

  • `x^2/"a"^2 + y^2/"b"^2` = 1

  • x2 + y2 = a2

  • y2 = 4ax

MCQ

उत्तर

y2 = 4ax

shaalaa.com
Locus of a Point
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Two Dimensional Analytical Geometry - Exercise 6.5 [पृष्ठ २८२]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 6 Two Dimensional Analytical Geometry
Exercise 6.5 | Q 2 | पृष्ठ २८२

संबंधित प्रश्‍न

Find the locus of P, if for all values of α, the co-ordinates of a moving point P is (9 cos α, 9 sin α)


Find the locus of P, if for all values of α, the co-ordinates of a moving point P is (9 cos α, 6 sin α)


Find the locus of a point P that moves at a constant distant of two units from the x-axis 


A straight rod of length 8 units slides with its ends A and B always on the x and y axes respectively. Find the locus of the midpoint of the line segment AB


Find the equation of the locus of a point such that the sum of the squares of the distance from the points (3, 5), (1, −1) is equal to 20


Find the equation of the locus of the point P such that the line segment AB, joining the points A(1, −6) and B(4, −2), subtends a right angle at P


If O is origin and R is a variable point on y2 = 4x, then find the equation of the locus of the mid-point of segment OR


The coordinates of a moving point P are `("a"/2 ("cosec" theta + sin theta), "b"/2 ("cosec" theta - sin theta))` where θ is a variabe parameter. Show hat the equation of the locus P is b2x2 – a2y2 = a2b2


If R is any point on the x-axis and Q is any point on the y-axis and P is a variable point on RQ with RP = b, PQ = a. then find the equation of locus of P


If the points P(6, 2) and Q(– 2, 1) and R are the vertices of a ∆PQR and R is the point on the locus y = x2 – 3x + 4, then find the equation of the locus of centroid of ∆PQR


If Q is a point on the locus of x2 + y2 + 4x – 3y +7 = 0, then find the equation of locus of P which divides segment OQ externally in the ratio 3 : 4 where O is origin


Find the points on the locus of points that are 3 units from x-axis and 5 units from the point (5, 1)


Choose the correct alternative:
The equation of the locus of the point whose distance from y-axis is half the distance from origin is


Choose the correct alternative:
Which of the following point lie on the locus of 3x2 + 3y2 – 8x – 12y + 17 = 0


Choose the correct alternative:
If the point (8,−5) lies on the locus `x^2/1 - y^2/25` = k, then the value of k is 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×