If |{:(.^(9)C(4),.^(9)C(5),.^(10)C(r)),(...

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

A

6

B

4

C

5

D

None of these

Text Solution

Verified by Experts

The correct Answer is:

C

Promotional Banner

Promotional Banner

Topper's Solved these Questions

DETERMINANTS
ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|11 Videos
DETERMINANTS
ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|21 Videos
DETERMINANTS
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|10 Videos
DEFINITE INTEGRAL
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos
DIFFERENTIAL EQUATION
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

|{:(.^(x)C_(r),,.^(x)C_(r+1),,.^(x)C_(r+2)),(.^(y)C_(r),,.^(y)C_(r+1),,.^(y)C_(r+2)),(.^(z)C_(r),,.^(z)C_(r+1),,.^(z)C_(r+2)):}| is equal to

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

the roots of the equations |{:(.^(x)C_(r),,.^(n-1)C_(r),,.^(n)C_(r)),(.^(x+1)C_(r),,.^(n)C_(r),,.^(n+1)C_(r)),(.^(x+2)C_(r),,.^(n+1)C_(r),,.^(n+2)C_(r)):}|=0

If .^(15)C_(r): .^(15)C_(R-1) = 11:5 , then find the value of 'r'.

If ^15 C_(3r):^(15)C_(r+1)=11 :3 , find the value of rdot

If ^15 C_(3r):^(15)C_(r+1)=11 :3 , find the value of rdot

If .^(n+1)C_(r+1):^(n)C_(r):^(n-1)C_(r-1)=11:6:3 , find the values of n and r.

If .^(n)C_(r-1): .^(n)C_(r): .^(n)C_(r+1)=3:4:5 , find the values of n and r.

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

Find the value of (.^(10)C_(10))+(.^(10)C_(0)+.^(10)C_(1))+(.^(10)C_(0)+.^(10)C_(1)+.^(10)C_(2))+"...."+(.^(10)C_(0)+.^(10)C_(1)+.^(10)C_(2)+"....." + .^(10)C_(9)) .

ARIHANT MATHS ENGLISH-DETERMINANTS -Exercise (Single Option Correct Type Questions)

If a, b, c are sides of a triangle and |(a^2,b^2,c^2),((a+1)^2,(b+1...
Text Solution
|
Find dy/dx if x^2+xy+y^2=100
Text Solution
|
If |[a,b-c,c+b],[a+c,b,c-a],[a-b,a+b,c]|=0 , then the line a x+b y+c=0...
Text Solution
|
If f(x)=a+b x+c x^2 and alpha,beta,gamma are the roots of the equation...
Text Solution
|
when the determinant |{:(cos2x,,sin^(2)x,,cos4x),(sin^(2)x,,cos2x,,co...
Text Solution
|
If [] denotes the greatest integer less than or equal to the real numb...
Text Solution
|
The determinant |y^2-x y x^2a b c a ' b ' c '| is equal to |b x+a y c ...
Text Solution
|
If A , B ,C are angles of a triangles, then the value of e^(2i A)e^(-i...
Text Solution
|
If |[ x^n ,x^(n+2) ,x^(2n)],[1 ,x^a , a ],[x^(n+5),x^(a+6),x^(2n+5)]...
Text Solution
|
If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...
Text Solution
|
if a(1)b(1)c(1), a(2)b(2)c(2)" and " a(3)b(3)c(3) are three-digit ev...
Text Solution
|
Expand | (4,8),(6,7)|
Text Solution
|
If x(1),x(2) "and" y(1),y(2) are the roots of the equations 3x^(2) ...
Text Solution
|
If |{:(.^(9)C(4),.^(9)C(5),.^(10)C(r)),(.^(10)C(6 ),.^(10)C(7),.^(11)C...
Text Solution
|
If f(x), h(x) are polynomials of degree 4 and |(f(x), g(x),h(x)),(a, b...
Text Solution
|
If f(x) =|{:(cos (x+alpha),cos(x+beta),cos(x+gamma)),(sin (x+alpha),si...
Text Solution
|
if |{:(1,,1,,1),(a,,b,,c),(a^(3),,b^(3),,c^(3)):}|= (a-b)(b-c)(c-a)(a+...
Text Solution
|
about to only mathematics
Text Solution
|
If a , b , c are non-zero real numbers and if the system of equations ...
Text Solution
|
the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 (cos theta...
Text Solution
|