Let `A-=(3,-4),B-=(1,2)`. Let `P-=(2k-1,2k+1)` be a variable point such that `PA+PB` is the minimum. Then k is

Let A-=(3,-4),B-=(1,2)dot Let P-=(2k-1,2k+1) be a variable point such that P A+P B is the minimum. Then k is 7/9 (b) 0 (c) 7/8 (d) none of these

Let A(0,1),B(1,1) ,C(1,-1) ,D(-1,0) be four points. If P is any other point, then PA+PB+PC+PDged , where [d] represents greatest integer.

Consider the parabola x^(2) +4y = 0 . Let P(a,b) be any fixed point inside the parabola and let S be the focus of the parabola. Then the minimum value at SQ +PQ as point Q moves on the parabola is (a) |1 -a| (b) |ab|+1 (c) sqrt(a^(2)+b^(2)) (d) 1-b

Suppose A, B are two points on 2x-y+3=0 and P(1,2) is such that PA=PB. Then the mid point of AB is

Let k be an integer such that the triangle with vertices (k ,-3k),(5, k) and (-k ,2) has area 28s qdot units. Then the orthocentre of this triangle is at the point : (1) (1,-3/4) (2) (2,1/2) (3) (2,-1/2) (4) (1,3/4)

If 'k' is the ordinate of the point P on the line 3x+2y+10=0 such that | PA-PB |is maximum , where A is ( 4,2 ) and B is (2,4 ), then [K/4] is is [.] G.I.F

Let P(a sec theta , b tan theta ) and Q(a sec phi , b tan phi) where theta + phi = (pi)/(2) be two point on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) =1 .If ( h, k) be the point of intersection of the normals at P and Q , then the value of k is -

Let A=[(1,2),(-1,3)] .If A^6=kA-205I then find the numerical quantity of k-40

The coordinates of the point P on the lines 2x+3y+1=0, such that |PA-PB| is maximum, where A is (2,0) and B is (0,2) is

Let f:(-1,1) to R be a function defined by f(x)="max"{-|x|, -sqrt(1-x^(2))} . If K be the set of all points at which f is not differentiable, then K has exactly :