The equation of the sphere with centre (3, 6, -4) and touching the plane 2 x-2 y-z-10=0…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
The equation of the sphere with centre (3, 6, -4) and touching the plane \(2 x-2 y-z-10=0\) is :
- \(x^{2}+y^{2}+z^{2}-6 x+12 y-8 z+45=0\)
- \(x^{2}+y^{2}+z^{2}+6 x-9 y+8 z+35=0\)
- \(x^{2}+y^{2}+z^{2}-6 x+9 y+8 z+35=0\)
- \(x^{2}+y^{2}+z^{2}-6 x-12 y+8 z+45=0\)
Answer
(D) x^ 2 +y^ 2 +z^ 2 -6 x-12 y+8 z+45=0
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If P ≡ (1, 0), Q ≡ (–1, 0) and R ≡ (2, 0) be three given points, then the locus of the point S satisfying the…
- The centre of a circle passing through the points (0, 0), (1, 0) and touching the circle x 2 + y 2 = 9 is :
- If the vertices of ΔABC are A(5,0), B(3,4) and C[ 5 , 2 5 ) , then the coordinates of the orthocentre is
- The centres of those circles which touch the circle, x^ 2 +y^ 2 -E x-E y-4=0 , externally and also touch the…
- The equation of the common tangents to the parabola y^ 2 =8 x and hyperbola 3 x^ 2 -y^ 2 =3 is,
- Equation of a common tangent to the parabola y^ 2 =4 x and the hyperbola xy = 2 is:
- The circles x 2 + y 2 + 6x + 6y = 0 and x 2 + y 2 – 12x – 12y =0
- The straight lines x+y=0,3 x+y-4=0 and x+3 y-4=0 form a triangle which is,
More Co-ordinate Geometry questions · Browse all practice questions