Home
Class 12
MATHS
Let O be the origin. If A(1,0) and B(0,1...

Let `O` be the origin. If `A(1,0) and B(0,1) and P(x , y)` are points such that `x y >0` and `x+y<1,` then
`P` lies either inside the triangle `O A B` or in the third quadrant.
`P` cannot lie inside the triangle `O A B`
`P` lies inside the triangle `O A B`
`P` lies in the first quadrant only

A

P lies either inside in `Delta OAB` or in third quadrant

B

P cannot be inside in `Delta OAB`

C

P lies inside the `Delta OAB`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|28 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 1 : (Single Option Correct Type Questions)|1 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 5|16 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

If a<0 and b<0, then he point P(a,b) lies on

If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 and x - y = 0 then the orthocentre of the triangle lies on the line/lines

Find the area bounded by the curves x^2+y^2= 25,4y= |4-x^2| and x= 0 which lies in the first quadrant.

If the point as (4,7) and (costheta,sintheta) , where 0 < theta < pi , lie on the same side of the line x+y-1=0, then prove that theta lies in the first quadrant.

Determine the range of values of 0 in [ 0,2 pi] for which (cos theta ,sin theta ) lies inside the triangle formed by the lines x+y-2=0, x - y - 1 = 0 and 6x + 2y - sqrt(10) = 0

The line x+y=p meets the x- and y-axes at Aa n dB , respectively. A triangle A P Q is inscribed in triangle O A B ,O being the origin, with right angle at QdotP and Q lie, respectively, on O Ba n dA B . If the area of triangle A P Q is 3/8t h of the are of triangle O A B , the (A Q)/(B Q) is equal to 2 (b) 2/3 (c) 1/3 (d) 3

If P is a point on the altitude AD of the triangle ABC such the /_C B P=B/3, then AP is equal to

The point P(alpha,alpha +1) will lie inside the triangle whose vertices are A(0,3), B(-2,0) and C(6,1) if

In a three-dimensional coordinate system, P ,Q ,and R are images of a point A(a ,b ,c) in the xy ,yz and zx planes, respectively. If G is the centroid of triangle P Q R , then area of triangle A O G is ( O is the origin)