Home
Class 11
MATHS
If the point P(a ,a^2) lies completely ...

If the point `P(a ,a^2)` lies completely inside the triangle formed by the lines `x=0,y=0,` and `x+y=2,` then find the exhaustive range of values of `a` is (A) `(0,1)` (B) `(1,sqrt2)` (C) `(sqrt2 -1,1)` (D) `(sqrt2 -1,2)`

Promotional Banner

Similar Questions

Explore conceptually related problems

If point P(alpha,alpha^(2)-2) lies inside the triangle formed by the lines x+y=1,y=x+1 and y=-1 then alpha in

The triangle formed by the lines sqrt(3)x+y-2=0,sqrt(3)x-y+1=0,y=0

Let (a,b) be point on obtuse angle bisector of the lines x+2y+1=0 and 2x+y+1=0 then the least value of (a-1)^(2)+(b-2)^(2) is (A) (1)/(2) (B) (1)/(sqrt(2)) (C) 6/(5)

The exhaustive range of a for which the point (a,0) lies inside the triangle formed by the lines y+3x+2=0 , 3y-2x-5=0 and 4y+x-14=0 is

The line x-y+2=0 touches the parabola y^2 = 8x at the point (A) (2, -4) (B) (1, 2sqrt(2)) (C) (4, -4 sqrt(2) (D) (2, 4)

The area of the figure bounded by the curves y=cosx and y=sinx and the ordinates x=0 and x=pi/4 is (A) sqrt(2)-1 (B) sqrt(2)+1 (C) 1/sqrt(2)(sqrt(2)-1) (D) 1/sqrt(2)

The point (1,2) lies inside the circle x^(2)+y^(2)-2x+6y+1=0 .

The perimeter of the triangle formed by the points (0,0),(1,0) and (0,1) is 1+-sqrt(2) (b) sqrt(2)+1(c)3(d)2+sqrt(2)

The point,at shortest distance from the line x+y=10 and lying on the ellipse x^(2)+2y^(2)=6, has coordinates (A) (sqrt(2),sqrt(2)) (B) (0,sqrt(3))(C)(2,1)(D)(sqrt(5),(1)/(sqrt(2)))