Find the least value of `(x-2)^2+(y-2)^2` under the condition `3x+4y-2=0.`

Find the greatest value of x^2 y^3 , where x and y lie in the first quadrant on the line 3x+4y=5 .

The equation of the circle which has normals (x-1).(y-2)=0 and a tangent 3x+4y=6 is (a) x^2+y^2-2x-4y+4=0 (b) x^2+y^2-2x-4y+5=0 (c) x^2+y^2=5 (d) (x-3)^2+(y-4)^2=5

3x-4y=-7,5x-2y=0

Find the value of lambda if the equation 9x^2+4y^2+2lambdax y+4x-2y+3=0 represents a parabola.

Find the value of x and y that satisfy the equations [(3,-2),(3,0),(2,4)] [(y,y),(x,x)]=[(3,3),(3y,3y),(10,10)]

Find the area enclosed by the parbola 4y=3x^(2) and the line 2y = 3x + 12 .

Find the value of p so that the three lines 3x + y - 2 = 0, px + 2y - 3 = 0 " and " 2x - y - 3 = 0 may intersect at one point.

Find the value of a for which the straight lines x+y-4=0,3x+2=0 and x-y+3a=0 are concurrent.

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0