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

The coordinates of the vertices B and C of a triangle ABC are (2,0) and (8,0), respectively.Vertex A is moving in such a way that 4tan(3)/(2)tan(C)/(2)=1. Then find the locus of A

Coordinates of the vertices B and C of a triangle ABC are (2,0) and (8,0) respectively.The vertex A is varying in such a way that 4tan((B)/(2))tan((C)/(2))=1 and locus of A is "((x-5)^(2))/(25)+(y^(2))/(k^(2))=1 ,then k=

An ellipse passes through a focus of the hyperbola x^2/9 - y^2/16 = 1 and its major and minor axes coincide with the transverse and conjugate axes of the hyperbola and the product of eccentricities of ellipse and hyperbola is 1. Equation of ellipse is : (A) x^2/16 + y^2/9 =1 (B) x^2/25 + y^2/9 = 1 (C) x^2/25 + y^2/16 = 1 (D) none of these

Find the centroid of DeltaABC whose vertices are A (0,-1) , B (-2,5) and C (2,8) .

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

If V and S are respectively the vertex and focus of the parabola y^(2)+6y+2x+5=0 then SV= a.2 b.1/2c.1d .none of these

If y= (x)/((x+5)) , then (dx)/(dy) equals- (A) (5)/((1-y)^(2)) (B) (5)/((1+y)^(2)) (C) (1)/((1-y)^(2)) (D) None of these

The coordinates of the focus of the parabola y^(2)-x-2y+2=0 are a.(5/4,1) b.(1/4,0) c.(1,1) d.none of these

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

(550% of 250)/275=? a.15 b.0.5 c.1.5 d.2.5 e.none of these