In AB, DE and GF are parallel to each other and AD, BG and EF ar parallel to each other . If CD: CE = CG:CB = 2:1 then the value of area `(triangleAEG): area (triangleABD) ` is equal to (a) 7/2 (b)3 (c)4 (d)9/2

If the straight lines 2x-3y+5=0andpx+2y=6 be parallel to each other , state which of the following is the value of p ,

If 2hati - 3hatj-hatk & ahati + bhatj- 2hatk these two vectors are parallel to each other. Then find out the value of b.

If the lines y = 3x + 7 and 2y + px = 3 perpendicular to each other, find the value of p

Diagonals of a trapezium ABCD with AB || DC, intersect each other at the point ‘O’. If AB = 2CD, find the ratio of areas of triangles AOB and COD.

Two circle intersect each other at A and B and a straight line parallel to AB intersects the circles at C,D,E,F. Prove that CD = EF.

G is the centroid of triangle ABC and A_1 and B_1 are the midpoints of sides AB and AC , respectively. If Delta_1 is the area of quadrilateral G A_1A B_1 and Delta is the area of triangle ABC , then Delta/Delta_1 is equal to a. 3/2 b. 3 c. 1/3 d. none of these

In an equilateral triangle, three coins of radii 1 unit each are kept so that they touch each other and also the sides of the triangle. The area of the triangle is 2sqrt(3) (b) 6+4sqrt(3) 12+(7sqrt(3))/4 (d) 3+(7sqrt(3))/4

inside the circles x^2+y^2=1 there are three circles of equal radius a tangent to each other and to s the value of a equals to

In triangle A B C , if r_1=2r_2=3r_3, then a : b is equal to 5/4 (b) 4/5 (c) 7/4 (d) 4/7

In triangle ABC medians AD and CE are drawn, if AD=5, angleDAC= pi/8 and angleACE=pi/4 , then the area of triangle ABC is equal to a. 25/8 b. 25/3 c. 25/18 d. 10/3