MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If f(x) = ( begin{vmatrix}x^n & x^{n+2} & x^{2n} 1 & x^p & p x^{n+5} & x^{p+6} & x^{2n+5} end {vmatrix} ) = 0,then what will be the value of p? |
| A. | x<sup>n</sup> |
| B. | (n + 1) |
| C. | Either x<sup>n</sup> or (n + 1) |
| D. | Both x<sup>n</sup> and (n + 1) |
| Answer» E. | |
| 2. |
What will be the value of ( begin{vmatrix}0 & i 100 & i 500 100 i & 0 & 1000 i 500 i & i 1000 & 0 end {vmatrix} )? |
| A. | 100 |
| B. | 500 |
| C. | 1000 |
| D. | 0 |
| Answer» E. | |
| 3. |
If f(x) = ( begin{vmatrix}sec x & cos x & sec^2 x + cot x , cosec x cos^2 x & cos^2 x & cosec^2 x 1 & cos^2 x & cos^2 x end {vmatrix} ) then what is the value of 0 /2 f(x) dx = ( /4 + 8/15)? |
| A. | ( /4 + 8/15) |
| B. | ( /4 8/15) |
| C. | ( /4 + 8/15) |
| D. | (- /4 + 8/15) |
| Answer» D. (- /4 + 8/15) | |
| 4. |
What is the value of r = 1 n f(x) if f(r) = ( begin{vmatrix}2r & x & n(n + 1) (6r^2 1) & y & n^2 (2n + 3) (4r^3 2nr) & z & n^3(n + 1) end {vmatrix} ) where n N? |
| A. | 1 |
| B. | -1 |
| C. | 0 |
| D. | 2 |
| Answer» D. 2 | |
| 5. |
What will be the value of the given determinant ( begin{vmatrix}109 & 102 & 95 6 & 13 & 20 1 & -6 & 13 end {vmatrix} )? |
| A. | constant other than 0 |
| B. | 0 |
| C. | 100 |
| D. | -1997 |
| Answer» C. 100 | |
| 6. |
What is the value of k if ( begin{vmatrix}y + z & x & x y & z + x & y z & z & x + y end {vmatrix} ) ? |
| A. | 4 |
| B. | -4 |
| C. | 1 |
| D. | 0 |
| Answer» B. -4 | |
| 7. |
Which one of the following is correct if a, b and c are the sides of a triangle ABC and ( begin{vmatrix}a^2 & b^2 & c^2 (a + 1)^2 & (b + 1)^2 & (c + 1)^2 (a 1)^2 & (b 1)^2 & (c 1)^2 end {vmatrix} ) ? |
| A. | ABC is an equilateral triangle |
| B. | ABC is an isosceles triangle |
| C. | ABC is a right angled triangle |
| D. | ABC is a scalene triangle |
| Answer» C. ABC is a right angled triangle | |
| 8. |
What is the value of x if, ( begin{vmatrix}x & 3 & 6 3 & 6 & x 6 & x & 3 end {vmatrix} ) = ( begin{vmatrix}2 & x & 7 x & 7 & 2 7 & 2 & x end {vmatrix} ) = ( begin{vmatrix}4 & 5 & x 5 & x & 4 x & 4 & 6 end {vmatrix} )? |
| A. | 9 |
| B. | -9 |
| C. | 0 |
| D. | Can t be predicted |
| Answer» C. 0 | |
| 9. |
If the system of equation 2x + 5y + 8z = 0, x + 4y + 7z = 0, 6x + 9y z = 0 has a non trivial solution then what is the value of ? |
| A. | -12 |
| B. | 0 |
| C. | 12 |
| D. | 2 |
| Answer» D. 2 | |
| 10. |
What is the value of ( begin{vmatrix}-bc & ca + ab & ca + ab ab + bc & -ca & ab + bc bc + ca & bc + ca & -ab end {vmatrix} ) ? |
| A. | ab |
| B. | ( ab)<sup>2</sup> |
| C. | ( ab)<sup>3</sup> |
| D. | ( ab)<sup>4</sup> |
| Answer» D. ( ab)<sup>4</sup> | |