If poitns `A(3,5)` and B are equidistant from `H(sqrt2,sqrt5)` and B has rational coordinates,then `AB=`

If (4+3sqrt5)/(4-3sqrt5)=a+bsqrt5 ,a, b are rational numbers, them (a, b)=

The locus of a point that is equidistant from the lines x+y - 2sqrt2 = 0 and x + y - sqrt2 = 0 is (a) x+y-5sqrt2=0 (b) x+y-3sqrt2=0 (c) 2x+2y-3 sqrt2=0 (d) 2x+2y-5sqrt5=0

(3+sqrt5)^2 xx (3-sqrt5)^2 = ?

A line 2x + y = 1 intersect co-ordinate axis at points A and B . A circle is drawn passing through origin and point A & B . If perpendicular from point A and B are drawn on tangent to the circle at origin then sum of perpendicular distance is (A) 5/sqrt2 (B) sqrt5/2 (C) sqrt5/4 (D) 5/2

Rationalize the denominator : 14/(5sqrt(3)-sqrt(5))

Le n be the number of points having rational coordinates equidistant from the point (0,sqrt3) , the

Orthocentre of an acute triangle A B C is at the orogin and its circumcentre has the coordinates (1/2,1/2)dot If the base B C has the equation 4x-2y=5, then the radius of the circle circumscribing the triangle A B C , is sqrt(5//2) b. sqrt(3) c. 3/(sqrt(2)) d. sqrt(6)

Orthocentre of an acute triangle A B C is at the orogin and its circumcentre has the coordinates (1/2,1/2)dot If the base B C has the equation 4x-2y=5, then the radius of the circle circumscribing the triangle A B C , is sqrt(5//2) b. sqrt(3) c. 3/(sqrt(2)) d. sqrt(6)

A circle passes through the points A(1,0) and B(5,0), and touches the y-axis at C(0,h)dot . If /_A C B is maximum, then (a) h=3sqrt(5) (b) h=2sqrt(5) (c) h=sqrt(5) (d) h=2sqrt(10)

Rationalize the fraction 2/(3sqrt5) .