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 (a)`2 `(b) `2/3` (c) `1/3` (d)` 3`

(1)A triangle formed by the lines x+y=0 , x-y=0 and lx+my=1. If land m vary subject to the condition l^2+m^2=1 then the locus of the circumcentre of triangle is: (2)The line x +y= p meets the x-axis and y-axis at A and B, respectively. A triangle APQ is inscribed in triangle OAB, O being the origin, with right angle at Q. P and Q lie, respectively, on OB and AB. If the area of triangle APQ is 3/8th of the area of triangle OAB, then (AQ)/(BQ) is: equal to

The line x + y = p meets the axis of x and y at A and B respectively. A triangle APQ is inscribed in the triangle OAB, O being the origin, with right angle at Q, P and Q lie respectively on OB and AB. If the area of the triangle APQ is 3//8^(th) of the area of the triangle OAB, then (AQ)/(BQ) is equal to

The line x+y=a meets the axes of x and y at A and B respectively. A triangle AMN is inscribed in the triangle OAB , O being the origin, with right angle at N, M and N lie respectively on OB and AB. If the area of the triangle AMN is 3/8 of the area of the triangle OAB , then (AN)/(BM) is equal to:

The line L_1-=4x+3y-12=0 intersects the x-and y-axies at Aa n dB , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is (a)3x-4y+2=0 (b)4x+3y+7=0 (c)6x-8y+7=0 (d) none of these

A straight line intersect x and y axes at P and Q respectively. If (3, 5) is the middle point of PQ, then what is the area of the triangle OPQ ?

O P Q R is a square and M ,N are the midpoints of the sides P Q and Q R , respectively. If the ratio of the area of the square to that of triangle O M N is lambda:6, then lambda/4 is equal to 2 (b) 4 (c) 2 (d) 16

A line passing through P(4,2) meet the X and Y -axes at A and B, respectively.If O is the origin,then locus of the centre of the circumference of triangle OAB is

G is the centroid of triangle A B Ca n dA_1a n dB_1 are rthe midpoints of sides A Ba n dA C , respectively. If "Delta"_1 is the area of quadrilateral G A_1A B_1a n d"Delta" is the area of triangle A B C , then "Delta"//"Delta"_1 is equal to a.3/2 b. 3 c. 1/3 d. none of these