`C(13,4)=`

C(13,5)=

The centre of the circle given by vec rdot( hat i+2 hat j+2 hat k)=15a n d| vec r-( hat j+2 hat k)|=4 is a. (0,1,2) b. (1,3,5) c. (-1,3,4) d. none of these

Let P=0 be the equation of a plane passing through the line of intersection of the planes 2x-y=0a n d3z-y=0 and perpendicular to the plane 4x+5y-3z=8. Then the points which lie on the plane P=0 is/are a. (0,9,17) b. (1//7,21//9) c. (1,3,-4) d. (1//2,1,1//3)

If A({:(1,3,4),(3,-1,5),(-2,4,-3):})=({:(3,-1,5),(1,3,4),(+4,-8,6):}) , then A=

The image of the point (-1,3,4) in the plane x-2y=0 is a. (-(17)/3,-(19)/3,4) b. (15 ,11 ,4) c. (-(17)/3,-(19)/3,1) d. (9/5,(-13)/5,4)

If for z as real or complex, (1+z^2+z^4)^8=C_0+C1z2+C2z4++C_(16)z^(32)t h e n (a) C_0-C_1+C_2-C_3++C_(16)=1 (b) C_0+C_3+C_6+C_9+C_(12)+C_(15)=3^7 (c) C_2+C_5+C_6+C_(11)+C_(14)=3^6 (d) C_1+C_4+C_7+C_(10)+C_(13)+C_(16)=3^7

Evaluate {:[( 102,18,36),( 1,3,4),( 17,3,6)]:}

then image of the point (-1,3,4) in the plane x-2y=0

The point which divides the line joining the points (1,3,4) and (4,3,1) internally in the ratio 2:1 , is