Mathematics Tes...

Coefficient of x² in the expansion of (x³ + 2x² + x + 4)¹⁵ is -

If r & s be the positive integers and ƒ(r, s) be the function which gives number of ordered quadraples (a, b, c, d) of positive integers such that 3^r7^s = LCM (a, b, c) = LCM (a, b, d) = LCM(a, c, d) = LCM (b, c, d), then

The number of ways in which the word 'PARALLEL' is arranged so that both A's are together and no two L are together is

If  are three unit vectors such that 
 , then the value of n is

Let   and . If  is a unit vector inclined at an angle 60º to both  and  such that , then which of the following is/are true

Number of ways to choose 3 positive integers a < b < c so that abc = 30030 is not equal to

Coefficient of x^ay^bz^c in the expansion of (2x – y + 3z)¹³, where a,b,c are three distinct terms of a GP can be

Given that  and  are two unit vectors such that angle between  and  is . If  be a vector in the plane of   and  , such that  and  then

Let  and . If D,E and F are the mid-points of BC,CA and AB respectively. P,Q and R are three points such that ,  and  then

Area of polygon ARBPCQ is equal to

Let  and . If D,E and F are the mid-points of BC,CA and AB respectively. P,Q and R are three points such that ,  and  then

If the vector A is at (1,1,1), then the equation of median through B is