The equation of the locus of the point whose distance from y-axis is half the distance from origin is

Which of the following point lie on the locus of 3x²+ 3y²- 8x - 12y + 17 = 0

Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 + 2\(\sqrt{2}\) is

The intercepts of the perpendicular bisector of the line segment joining (1, 2) and (3, 4) with coordinate axes are

The equation of the line with slope 2 and the length of the perpendicular from the origin equal to \(\sqrt5\) is

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

The sum of the squares of the distances of a moving point from two fixed points (a, 0) and (-0, 0) is equal to 2c². Find the equation to its locus.

The length L (in cm) of a copper rod is a linear function of its Celsius temperature C. In an experiment if L = 124.942 when C = 20 and. L = 125.134 when C = 110, express L in terms of C.

Find the equation of the straight line parallel to 5x - 4y + 3 = 0 and having x-intercept 3.

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 mid point of the line segment AB.

If P is length of perpendicular from origin to the line whose intercepts on the axes are a and b, then show that \(\frac{1}{p^2}=\frac{1}{a^2}+\frac{1}{b^2}\)

If θ is a parameter, find the equation of the locus of a moving point, whose coordinates are x = a cos³ θ, y = a sin³ θ.

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