हिंदी

Select the correct answer from the given alternatives: -3-6 is equal to

Advertisements
Advertisements

प्रश्न

Select the correct answer from the given alternatives:

`sqrt(-3) sqrt(-6)` is equal to

विकल्प

  • `-3sqrt(2)`

  • `3sqrt(2)`

  • `3sqrt(2)"i"`

  • `-3sqrt(2)"i"`

MCQ
Advertisements

उत्तर

`-3sqrt(2)`

Explanation;

`sqrt(-3) sqrt(-6) = (sqrt(3)"i") (sqrt(6)"i")`

= `3sqrt(2) (-1)`

`-3sqrt(2)`.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Complex Numbers - Miscellaneous Exercise 1.1 [पृष्ठ २१]

APPEARS IN

बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 1 Complex Numbers
Miscellaneous Exercise 1.1 | Q I. (3) | पृष्ठ २१

संबंधित प्रश्न

Express the following expression in the form of a + ib.

`((3 + sqrt5)(3 - isqrt5))/((sqrt3 + sqrt2i)-(sqrt3 - isqrt2))`


Find the value of i49 + i68 + i89 + i110 


Find the value of: x3 – 3x2 + 19x – 20, if x = 1 – 4i


Write the conjugates of the following complex number:

`-sqrt(-5)`


Write the conjugates of the following complex number:

cosθ + i sinθ


If `("a" + 3"i")/(2+ "ib")` = 1 − i, show that (5a − 7b) = 0


If x + iy = `sqrt(("a" + "ib")/("c" + "id")`, prove that (x2 + y2)2 = `("a"^2 + "b"^2)/("c"^2 + "d"^2)` 


Answer the following:

Simplify the following and express in the form a + ib:

`(sqrt(5) + sqrt(3)"i")/(sqrt(5) - sqrt(3)"i")`


Answer the following:

Simplify the following and express in the form a + ib:

`(3"i"^5 + 2"i"^7 + "i"^9)/("i"^6 + 2"i"^8 + 3"i"^18)`


Answer the following:

Simplify the following and express in the form a + ib:

`(5 + 7"i")/(4 + 3"i") + (5 + 7"i")/(4 - 3"i")`


Answer the following:

Solve the following equation for x, y ∈ R:

`(x + "i"y)/(2 + 3"i")` = 7 – i


Solve the following equation for x, y ∈ R:

2x + i9y (2 + i) = xi7 + 10i16


If z1, z2, z3 are complex numbers such that `|z_1| = |z_2| = |z_3| = |1/z_1 + 1/z_2 + 1/z_3|` = 1, then find the value of |z1 + z2 + z3|.


The real value of ‘a’ for which 3i3 – 2ai2 + (1 – a)i + 5 is real is ______.


If (2 + i) (2 + 2i) (2 + 3i) ... (2 + ni) = x + iy, then 5.8.13 ... (4 + n2) = ______.


State true or false for the following:

If n is a positive integer, then the value of in + (i)n+1 + (i)n+2 + (i)n+3 is 0.


What is the principal value of amplitude of 1 – i?


If `((1 + i)/(1 - i))^3 - ((1 - i)/(1 + i))^3` = x + iy, then find (x, y).


If `(1 + i)^2/(2 - i)` = x + iy, then find the value of x + y.


If |z1| = |z2| = ... = |zn| = 1, then show that |z1 + z2 + z3 + ... + zn| = `|1/z_1 + 1/z_2 + 1/z_3 + ... + 1/z_n|`.


The value of `sqrt(-25) xx sqrt(-9)` is ______.


If |z + 4| ≤ 3, then the greatest and least values of |z + 1| are ______ and ______.


State True or False for the following:

For any complex number z the minimum value of |z| + |z – 1| is 1.


State True or False for the following:

The inequality |z – 4| < |z – 2| represents the region given by x > 3.


Find `|(1 + i) ((2 + i))/((3 + i))|`.


Let |z| = |z – 3| = |z – 4i|, then the value |2z| is ______.


If α, β, γ and a, b, c are complex numbers such that `α/a +  β/b + γ/c` = 1 + i and `a/α +  b/β + c/γ` = 0, then the value of `α^2/a^2 +  β^2/b^2 + γ^2/c^2` is equal to ______.


If `|(6i, -3i, 1),(4, 3i, -1),(20, 3, i)|` = x + iy, then ______.


Simplify the following and express in the form a+ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`


Find the value of `(i^592 + i^590 + i^588 + i^586 + i^584)/ (i^582 + i^580 + i^578 + i^576 + i^574)`


Simplify the following and express in the form a+ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`


Simplify the following and express in the form a+ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18`


Simplify the following and express in the form a+ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`


Evaluate the following:

i35


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×