`Ba n dC` are fixed points having coordinates (3, 0) and `(-3,0),` respectively. If the vertical angle `B A C` is `90^0` , then the locus of the centroid of ` A B C` has equation. (a)`x^2+y^2=1` (b) `x^2+y^2=2` (c)`9(x^2+y^2)=1` (d) `9(x^2+y^2)=4`

A=(1,2),B(3,4) and the locus of C is 2x+3y=5 then the locus of the centroid of Delta ABC is

If points A and B are (1,0) and (0,1) respectively,and point C is on the circle x^(2)+y^(2)=1, then the locus of the orthocentre of triangle ABC is x^(2)+y^(2)=4x^(2)+y^(2)-x-y=0x^(2)+y^(2)-2x-2y+1=0x^(2)+y^(2)+2x-2y+1=0

Let vertices of the triangle ABC is A(0,0),B(0,1) and C(x,y) and perimeter is 4 then the locus of C is : (A)9x^(2)+8y^(2)+8y=16(B)8x^(2)+9y^(2)+9y=16(C)9x^(2)+9y^(2)+9y=16(D)8x^(2)+9y^(2)-9x=16

Coordinates of the vertices B and C of DeltaABC are (2, 0) and (8, 0) respectively. The vertex is hanging in such a way that 4 tan B/2.tan C/2 = 1 . Then the locus of A is (A) (x-5)^2/25 + y^2/9 = 1 (B) (x-5)^2/25 + y^2/16 = 1 (C) (c-5)^2/16 + y^2/25 = 1 (D) none of these

Let the foci of the ellipse (x^(2))/(9)+y^(2)=1 subtend a right angle at a point P. Then,the locus of P is (A) x^(2)+y^(2)=1(B)x^(2)+y^(2)=2 (C) x^(2)+y^(2)=4(D)x^(2)+y^(2)=8

92. Let P and Q be any two points on the lines represented by 2x-3y = 0 and 2x + 3y = 0 respectively. If the area of triangle OPQ (where O is origin) is 5, then which of the following is not the possible equation of the locus of mid-point of PO? (a) 4x2-9y2 +30 = 0 (b) 4x2-9y2-30 = 0 c) 9x2-4)/2-30=0 (d) none of these

Let C be the circle with centre (0,0) and radius 3 units.The equation of the locus of the mid points of the chords of the circle C that subtend an angle of (2 pi)/(3) at its center is (a) x^(2)+y^(2)=(3)/(2)(b)x^(2)+y^(2)=1(c)x^(2)+y^(2)=(27)/(4)(d)x^(2)+y^(2)=(9)/(4)

Let A(2,-3) and B(-2,1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x+3y=1, then the locus of the vertex C is the line 2x+3y=92x-3y=73x+2y=53x-2y=3

Find the equation of the tangent line to the curve y=(3x^2-1)/x at the point (1,2) is (a) 4x-y-1=0 (b) 4x+y+2=0 (c)x-y-1=0 (d) 4x-y-2=0

Let C be the circle with centre (0,0) and radius 3 units.The equation of the locus of the mid points of the chords of the circle C that subtend an angle of (2 pi)/(3) at its center is (A) x^(2)+y^(2)=(3)/(2)(B)x^(2)+y^(2)=1(C)x^(2)+y^(2)=(27)/(4)(D)x^(2)+y^(2)=(9)/(4)