The value of |(.^(10)C(4).^(10)C(5).^(11...

The value of `|(.^(10)C_(4).^(10)C_(5).^(11)C_(m)),(.^(11)C_(6).^(11)C_(7).^(12)C_(m+2)),(.^(12)C_(8).^(12)C_(9).^(13)C_(m+4))|` is equal to zero when `m` is

A

6

B

4

C

5

D

none of these

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

DETERMINANT
FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level -II|19 Videos
DETERMINANT
FIITJEE|Exercise COMPREHENSIONS -I|3 Videos
DETERMINANT
FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Level -II|12 Videos
DEFINITE INTEGRAL
FIITJEE|Exercise NUMERICAL BASED|3 Videos
ELLIPSE
FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

If |{:(.^(9)C_(4),.^(9)C_(5),.^(10)C_(r)),(.^(10)C_(6 ),.^(10)C_(7),.^(11)C_(r+2)),(.^(11)C_(8),.^(11)C_(9),.^(12)C_(r+4)):}|=0 , then the value of r is equal to

The value of .^(20)C_(10)+.^(20)C_(1)+.^(20)C_(2)+.^(20)C_(3)+.^(20)C_(4)+.^(20)C_(12)+.^(20)C_(13)+.^(20)C_(14)+.^(20)C_(15) is

|(.^10C_4,.^10C_5,.^11C_m),(.^11C_6,.^11C_7, .^12C_(m+2)),(.^12C_8,.^12C_9,.^13C_(m+4))|=0 then find the value of m

The value of .^(13)C_(7)+.^(13)C_(8)+.^(13)C_(9)+.^(13)C_(10)+.^(13)C_(11)+.^(13)C_(12)+.^(13)C_(13) is equal to

int(x-.^(11)C_(1)x^(2)+.^(11)C_(2)x^(3)-.^(11)C_(3)x^(4)+...-.^(11)C_(x^(12)))dx equal to

(.1^(11)C_(0))/(1)+(.^(11)C_(1))/(2)+(.^(11)C_(2))/(3)+....+(.1^(11)C_(10))/(11)

Verify that: (i) .^(15)C_(8)+.^(15)C_(9)-.^(15)C_(7)=0 " " (ii) .^(10)C_(4)+.^(10)C_(3)=.^(11)C_(4)

FIITJEE-DETERMINANT-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I

If f(x)=|{:(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x...
Text Solution
|
The value of f(pi/6) where f(theta)=|{:(cos^2theta,costhetasintheta,-s...
Text Solution
|
The system of equation 102x-95y+88z=81,3x+10y+17z=24, 57x+50y+43z=36 h...
Text Solution
|
IF ax^3+bx^2+cx+d=|(x^2,(x-1)^2, (x-2)^2),((x-1)^2 (x-2)^2, (x-3)^2), ...
Text Solution
|
In a Delta ABC |[1,1,1],[1+sinA,1+sinB,1+sinC][sinA+sin^2A,sinB+sin^2B...
Text Solution
|
If a,b,c are sides of a triangle and |(a^(2),b^(2),c^(2)),((a+1)^(2),(...
Text Solution
|
The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...
Text Solution
|
If D=|{:(2,1,[sin^2theta]),([sin^2theta],costheta,i),(i,1,sintheta):}|...
Text Solution
|
If alpha is a root of x^4 = 1 with negative principal argument then th...
Text Solution
|
If Delta(x)=|((e^x,sin2x,tanx^2)),((In(1+x),cosx,sinx)),((cosx^2,e^x-1...
Text Solution
|
Let x1y1z1,x2y2z2 and x3y3z3 be three 3-digit even numbers and Delta=|...
Text Solution
|
If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0, then th...
Text Solution
|
The product of all values of t , for which the system of equations (a-...
Text Solution
|
Let a,b,c , in R not all are equal and Delta(1)= |{:(a,,b,,c),(b,,c,...
Text Solution
|
The value of a for which system of equation , a^3x+(a+1)^3y+(a+2)^3z=0...
Text Solution
|
If Delta (x)=|{:(x,1+x^(2),x^(3)),(log(1+x^(2)),e^(x),sinx),(cosx,tanx...
Text Solution
|
If ai, bi in N for i 1,2,3, then coefficient of x in the determinant;|...
Text Solution
|
Statement 1: The product of two diagonal matrices of order 3 is also ...
Text Solution
|
Statement -1 : If Delta(x)=|{:(f1(x),f2(x),f3(x)),(a2,b2,c2),(a3,b3,c3...
Text Solution
|
Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...
Text Solution
|