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Maths-

General

Easy

Question

The determinant $open vertical bar table row a b cell a minus b end cell row b c cell b minus c end cell row 2 1 0 end table close vertical bar$ is equal to zero if $a comma b comma c$ are in

G. P.
A. P.
H. P.
None of these

The correct answer is: G. P.

On expanding, $negative a left parenthesis b minus c right parenthesis plus 2 b left parenthesis b minus c right parenthesis plus left parenthesis a minus b right parenthesis left parenthesis b minus 2 c right parenthesis equals 0$
Þ $negative a b plus a c plus 2 b to the power of 2 end exponent minus 2 b c plus a b minus 2 a c minus b to the power of 2 end exponent plus 2 b c equals 0$
Þ $b to the power of 2 end exponent minus a c equals 0$ Þ $b to the power of 2 end exponent equals a c$ .

Related Questions to study

If $a not equal to 6 comma b comma c$ satisfy $open vertical bar table row a cell 2 b end cell cell 2 c end cell row 3 b c row 4 a b end table close vertical bar equals 0 comma$ then $a b c equals$

If $a not equal to 6 comma b comma c$ satisfy $open vertical bar table row a cell 2 b end cell cell 2 c end cell row 3 b c row 4 a b end table close vertical bar equals 0 comma$ then $a b c equals$

End product of the following sequence of reaction is :

End product of the following sequence of reaction is :

chemistry-General

Arrange in the increasing order of boiling points:
i)
ii)
iii)

iv)

Arrange in the increasing order of boiling points:
i)
ii)
iii)

iv)

chemistry-General

parallel

Number of rectangles in fig. shown which are not squares is

Number of rectangles in fig. shown which are not squares is

Digit at unit place of sum (1!)² +(2!)² +(3!)² ……… +(2008!)² is

Digit at unit place of sum (1!)² +(2!)² +(3!)² ……… +(2008!)² is

A person writes letters to 6 friends and addresses the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least 4 of them are in wrong envelopes ?

A person writes letters to 6 friends and addresses the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least 4 of them are in wrong envelopes ?

parallel

The total numbers of integral solutions for (x,y,z) such that xyz = 24 is

The total numbers of integral solutions for (x,y,z) such that xyz = 24 is

Number of ways in which 5 different toys can be distributed among 5 children if exactly one child do not get any toy

Number of ways in which 5 different toys can be distributed among 5 children if exactly one child do not get any toy

A seven digit number is in form of abcdefg (g, f, e, etc. are digits at units, tens, hundred place etc.) where a < b < c < d > e > f > g. The number of such numbers are

A seven digit number is in form of abcdefg (g, f, e, etc. are digits at units, tens, hundred place etc.) where a < b < c < d > e > f > g. The number of such numbers are

parallel

Number of ways in which 25 identical balls can be distributed among Ram, Shyam, Sunder and Ghanshyam such that atleast 1, 2, 3, and 4 balls are given to Ram, Shyam, Sunder and Ghanshyam respectively, is-

Number of ways in which 25 identical balls can be distributed among Ram, Shyam, Sunder and Ghanshyam such that atleast 1, 2, 3, and 4 balls are given to Ram, Shyam, Sunder and Ghanshyam respectively, is-

One hundred identical marbles are to be distributed to three children so that each gets atlest 20 and no two get equal number. The number of ways of doing this is -

One hundred identical marbles are to be distributed to three children so that each gets atlest 20 and no two get equal number. The number of ways of doing this is -

The number of five-digit telephone numbers having at least one of their digits repeated is

The number of five-digit telephone numbers having at least one of their digits repeated is

parallel

The maximum value of P such that 3^P divides 99 × 97 × 95 × .... × 51 is-

The maximum value of P such that 3^P divides 99 × 97 × 95 × .... × 51 is-

If $f left parenthesis x right parenthesis equals fraction numerator x over denominator 1 plus vertical line x vertical line end fraction$ for $x element of R$ , then $f to the power of straight prime left parenthesis 0 right parenthesis equals$

If $f left parenthesis x right parenthesis equals fraction numerator x over denominator 1 plus vertical line x vertical line end fraction$ for $x element of R$ , then $f to the power of straight prime left parenthesis 0 right parenthesis equals$

The largest value of r satisfying inequality ²⁰C_r $greater or equal than 3$ ²⁰C_r_{– 1}is -

The largest value of r satisfying inequality ²⁰C_r $greater or equal than 3$ ²⁰C_r_{– 1}is -

parallel

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