Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Coordinate-Geometry

Easy

Question

Locus of the centroid of the triangle whose vertices are
$left parenthesis a cos t comma a sin t right parenthesis comma left parenthesis b sin t comma negative b cos t right parenthesis space$ and (1,0); where t is a parameter is

$(3 x - 1)^{2} + (3 y)^{2} = a^{2} + b^{2}$
$(3 x + 1)^{2} + (3 y)^{2} = a^{2} + b^{2}$
$(3 x + 1)^{2} + (3 y)^{2} = a^{2} - b^{2}$
$(3 x - 1)^{2} + (3 y)^{2} = a^{2} - b^{2}$

The correct answer is: $left parenthesis 3 x minus 1 right parenthesis squared plus left parenthesis 3 y right parenthesis squared equals a squared plus b squared$

Related Questions to study

Let A(2,-3) and B(-2,1) be vertices of a right ABC. If the centroid of this triangle moves on the line, 2x+3y=1, then the locus of the vertex C is the line

Let A(2,-3) and B(-2,1) be vertices of a right ABC. If the centroid of this triangle moves on the line, 2x+3y=1, then the locus of the vertex C is the line

MathematicsAlgebra

Coordinate-Geometry

If $a comma x subscript 1 comma x subscript 2$ are in G.P. with common ratio r and $b comma y subscript 1 comma y subscript 2$ are in G.P. with common ratio s where s - r = 2, then the area of the triangle with vertices $left parenthesis a comma b right parenthesis comma open parentheses x subscript 1 comma y subscript 1 close parentheses$ and $open parentheses x subscript 2 comma y subscript 2 close parentheses$ is

If $a comma x subscript 1 comma x subscript 2$ are in G.P. with common ratio r and $b comma y subscript 1 comma y subscript 2$ are in G.P. with common ratio s where s - r = 2, then the area of the triangle with vertices $left parenthesis a comma b right parenthesis comma open parentheses x subscript 1 comma y subscript 1 close parentheses$ and $open parentheses x subscript 2 comma y subscript 2 close parentheses$ is

MathematicsCoordinate-Geometry

Coordinate-Geometry

The points (a, b+c),(b, c+a) and (c ,a+b) are

The points (a, b+c),(b, c+a) and (c ,a+b) are

MathematicsCoordinate-Geometry

parallel

Coordinate-Geometry

If a vertex of a triangle is (1,1) and the midpoints of two sides through this vertex are (-1,2) and (3,2), then centroid of the triangle is

If a vertex of a triangle is (1,1) and the midpoints of two sides through this vertex are (-1,2) and (3,2), then centroid of the triangle is

MathematicsCoordinate-Geometry

Coordinate-Geometry

A line perpendicular to the line segment joining the points (7,3) and (3,7) divides it in the ratio 1:3, the equation of the line is

A line perpendicular to the line segment joining the points (7,3) and (3,7) divides it in the ratio 1:3, the equation of the line is

MathematicsCoordinate-Geometry

Coordinate-Geometry

P is a point on x-axis, Q is a point on y-axis. Both are equidistant from the points (7,6) and (3,4) Distance between P and Q is

P is a point on x-axis, Q is a point on y-axis. Both are equidistant from the points (7,6) and (3,4) Distance between P and Q is

MathematicsCoordinate-Geometry

parallel

Coordinate-Geometry

If three points $left parenthesis h comma space 0 right parenthesis comma left parenthesis a comma space b right parenthesis$ and $left parenthesis 0 comma space k right parenthesis$ lie on a line then

If three points $left parenthesis h comma space 0 right parenthesis comma left parenthesis a comma space b right parenthesis$ and $left parenthesis 0 comma space k right parenthesis$ lie on a line then

MathematicsCoordinate-Geometry

Coordinate-Geometry

The base of an equilateral triangle with side 2a lies along the y- axis such that the midpoint of the base is at the origin if the centroid of the triangle lies on the x-axis, coordinates of the vertex are

The base of an equilateral triangle with side 2a lies along the y- axis such that the midpoint of the base is at the origin if the centroid of the triangle lies on the x-axis, coordinates of the vertex are

MathematicsCoordinate-Geometry

Structure-Of-Atom

The graph between $vertical line psi vertical line squared$ and r (radial distance) is shown below. This represents

The graph between $vertical line psi vertical line squared$ and r (radial distance) is shown below. This represents

ChemistryStructure-Of-Atom

parallel

Classification-Of-Elements-And-Periodicity-In-Properties

The isoelectronic set of ions is :

The isoelectronic set of ions is :

ChemistryClassification-Of-Elements-And-Periodicity-In-Properties

Organic-Chemistry--Some-Basic-Principles-And-Techniques

The increasing order of nucleophilicity of the following nucleophiles is

The increasing order of nucleophilicity of the following nucleophiles is

ChemistryOrganic-Chemistry--Some-Basic-Principles-And-Techniques

The green colour produced in the borax bead test of a chromium (III) salt is due to

The green colour produced in the borax bead test of a chromium (III) salt is due to

ChemistryHydrogen

parallel

Coordinate-Geometry

Let A(h, k), B(1,1) and C(2,1) be the vertices of a right-angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which k can take is given by

Let A(h, k), B(1,1) and C(2,1) be the vertices of a right-angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which k can take is given by

MathematicsCoordinate-Geometry

Coordinate-Geometry

If A(-3,4), B(-1,-2), C(5,6), D(x,-4) are the vertices of a quadrilateral such that area of $capital delta A B D equals 2 left square bracket text Area of end text capital delta A C D right square bracket$ then x =

If A(-3,4), B(-1,-2), C(5,6), D(x,-4) are the vertices of a quadrilateral such that area of $capital delta A B D equals 2 left square bracket text Area of end text capital delta A C D right square bracket$ then x =

MathematicsCoordinate-Geometry

Coordinate-Geometry

If $capital delta subscript 1$ is the area of the triangle formed by the centroid and two vertices of a triangle, $capital delta subscript 2$ is the area of the triangle formed by the midpoints of the sides of the given triangle then $capital delta subscript 1 colon capital delta subscript 2 equals$

If $capital delta subscript 1$ is the area of the triangle formed by the centroid and two vertices of a triangle, $capital delta subscript 2$ is the area of the triangle formed by the midpoints of the sides of the given triangle then $capital delta subscript 1 colon capital delta subscript 2 equals$

MathematicsCoordinate-Geometry

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.