The empirical relation between mean, mode and median is (a)`Mod e\ =\ 3\ M e d i a n\ -2\ M e a n` (b) `Mod e=2\ M e d i a n-3\ M e a n` (c) `M e d i a n=3\ Mod e-2\ M e a n` (d) `M e a n=3\ M e d i a n-2\ Mod e`

Find the volume in cubic metre (cu. m) of each of the cuboids whose dimensions are: l e n g t h\ =\ 12 m ,\ b r e a dt h=10 m ,\ h e igh t=4. 5 m l e n g t h\ =\ 4m ,\ b r e a dt h\ =\ 2. 5 m ,\ h e igh t\ =\ 50 c mdot l e n g t h\ =\ 10 m ,\ b r e a dt h\ =\ 25 d m ,\ h e igh t\ =\ 25 c mdot

A B C D is a cyclic quadrilateral in which B A\ a n d\ C D when produced meet in E\ a n d\ E A=E Ddot Prove that: (i) A D is p a r a l l e l t o B C (ii) E B=E C

If a,b,c,d,e, f are A. M's between 2 and 12 , then find a + b + c +d + e +f.

In Figure, A D=A E\ a n d\ D\ a n d\ E are points on B C such that B D=E Cdot Prove that A B=A C

Let A and B be two sets such that n(A)=5\ a n d\ n(B)=2,\ if\ a ,\ b ,\ c ,\ d ,\ e are distinct and (a ,2),\ (b ,3),\ (c ,2),\ (d ,3),\ (e ,2) are in AxxB , find A and B.

In Figure, A B C D is a parallelogram, A E\ _|_D C\ a n d\ CC F_|_A D . If A B=16 C M ,\ A E=8c m\ a n d\ C F=10 c m , find A D

In Figure, A B C is an isosceles triangle with A B=A C\ a n d\ m\ /_A B C=50^0dot Find m\ /_B D C\ a n d\ /_B E C

Water in a canal, 30\ d m\ w i d e\ a n d\ 12 d m\ d e e p ,\ is flowing with a velocity of 20 k m\ p e r\ hou rdot How many area will it irrigate in 30\ m in ,\ if 9\ c m of standing water is desired?

Which of the following pairs of triangles are congruent? If they are congruent, write out the pairs of equal angles. A B C : A B=3c m ,\ B C=4c m ,\ C A=2\ c m D E F : D E=2\ c m ,\ E F=3\ c m\ a n d\ F D=4\ c m P Q R : P Q=17\ c m ,\ Q R=15\ c m ,\ P R=18\ c m D E F : D E=18\ c m ,\ E F=17\ c m ,\ D F=15\ c m .

In Figure, A B=C D . Prove that B E=D E\ a n d\ A E=C E , where E is the point of intersecting of A D\ a n d\ B C .