The length of common chord of ellipse `4(x-1)^2 + 9 (y-2)^2 = 36 and (x-1)^2 + (y-2)^2 = 1`, is (A) 0 units (B) 2 units (C) `4sqrt(2)` units (D) `8sqrt(2)` units

The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=1 and the circle (x-1)^2+(y-2)^2=1 is (A) 2 (B) sqrt3 (C) 4 (D) none of these

The length of the common chord of the circles x^(2)+y^(2)-2x-1=0 and x^(2)+y^(2)+4y-1=0 , is

Distance between the two planes: 2x + 3y + 4z = 4 and 4x + 6y + 8z = 12 is(A) 2 units (B) 4 units (C) 8 units (D) 2/(sqrt(29)) units

Length of latus rectum of the parabola 25 [(x-1)^2 + (y-2)^2]= (3x-4y+8)^2 is (A) 6/5 units (B) 6 units (C) 3/5 units (D) none of these

The area of the parallelogram formed by the lines 3x-4y + 1=0, 3x-4y +3=0,4x-3y-1=0 and 4x -3y -2 =0, is (A) 1/7 sq units (B) 2/7 sq units (C) 3/7 sq units (D) 4/7 sq units

AB is a chord of x^2 + y^2 = 4 and P(1, 1) trisects AB. Then the length of the chord AB is (a) 1.5 units (c) 2.5 units (b) 2 units (d) 3 units

the distance between the points (3, -2 ) and ( -3 ,2) is a) sqrt(52) units b) 4sqrt(10) units c) 2sqrt(10) units d) sqrt(40) units

The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 sq. units (b) 2 sq. units 2sqrt(2) sq. units (d) 4 sq. units

The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 sq. units (b) 2 sq. units 2sqrt(2) sq. units (d) 4 sq. units

The area bounded by the parabolas y=(x+1)^2 and y=(x-1)^2a n dy=(x-1)^2 and the line y=1/4 is 4 sq. units (b) 1/6 sq. units 4/3 sq. units (d) 1/3 sq. units