If the equation of a given circle is `x^2+y^2=36 ,` then the length of the chord which lies along the line `3x+4y-15=0` is `3sqrt(6)` 2. `2sqrt(3)` 3. `6sqrt(3)` 4. none of these

Let the equation of circle is x ^(2) + y ^(2) - 6x + 4y + 12=0. Then the line 3x - 4y + 5 is a

Find the equation of the tangent line to the curve y=sqrt(5x-3)-2 which is parallel to the line 4x-2y+3=0 .

sqrt (2x) -sqrt (3y) = 0sqrt (3x) -sqrt (3y) = 0

The length of the chord of the parabola x^(2) = 4y having equations x - sqrt(2) y + 4 sqrt(2) = 0 is

Find the parametric equation of the circles : 3x^2 + 3y^2 + 4x-6y - 4 = 0

The length of perpendicular from the poit (1,-1,2) on the line (x+1)/2=(2-y)/3=(z+2)/4 is (A) 0 (B) sqrt(6) (C) sqrt(21) (D) none of these

A vertex of an equilateral triangle is at (2, 3), and th equation of the opposite side is x+y=2 , then the equaiton of the other two sides are (A) y=(2+sqrt(3)) (x-2), y-3=2sqrt(3)(x-2) (B) y-3=(2+sqrt(3) (x-2), y-3= (2-sqrt(3) (x-2) (C) y+3=(2-sqrt(3)(x-2), y-3=(2-sqrt(3) (x+2) (D) none of these

Find the equation of the tangent line to the curve y=sqrt(5x-3)-2 which is parallel to the line 4x-2y+3=0

The length of the straight line x-3y=1 intercepted by the hyperbola x^(2)-4y^(2)=1 is (6)/(sqrt(5)) b.3sqrt((2)/(5))c*6sqrt((2)/(5))d .none of these