मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

For √ 2 X 2 − 5 X + √ 2 = 0 Find the Value of the Discriminant. - Algebra

Advertisements
Advertisements

प्रश्न

Choose the correct answer for the following question.
For \[\sqrt{2} x^2 - 5x + \sqrt{2} = 0\] find the value of the discriminant.

पर्याय

  • -5

  • 17

  • `sqrt2`

  • `2sqrt2-5`

MCQ
बेरीज

उत्तर

\[\sqrt{2} x^2 - 5x + \sqrt{2} = 0\]

\[a = \sqrt{2}, b = - 5, c = \sqrt{2}\]
\[\text{D} = b^2 - 4ac\]
\[ = \left( - 5 \right)^2 - 4 \times \sqrt{2} \times \sqrt{2}\]
\[ = 25 - 8\]
\[ = 17\]

Hence, the correct answer is 17.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Quadratic Equations - Problem Set 2 [पृष्ठ ५३]

APPEARS IN

बालभारती Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
पाठ 2 Quadratic Equations
Problem Set 2 | Q 1.4 | पृष्ठ ५३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

If the equation `4x^2-3kx+1=0` has equal roots then value of k=?  

(a)`+-2/3`                     (b)`+-1/3` 

(c)` +-3/4`                     (d) `+-4/3` 

 


The sum of a number and its reciprocal is `2 1/20` The number is  

(a) `5/4  or  4/5`                        (b)`4/3  or  3/4` 

(c) `5/6  or  6/5`                         (d) `1/6  or  6`


The sum of two natural numbers is 8 and their product is 15., Find the numbers. 


Decide whether the following equation is quadratic equation or not.

 y= 5y – 10


Decide whether the following equation is quadratic equation or not.

\[x + \frac{1}{x} = - 2\] 


Suyash scored 10 marks more in second test than that in the first. 5 times the score of the second test is the same as square of the score in the first test. Find his score in the first test.


Choose the correct answer for the following question.

\[\sqrt{5} m^2 - \sqrt{5}m + \sqrt{5} = 0\] which of the following statement is true for this given equation?


Solve the following quadratic equation.

`1/(x + 5) = 1/x^2`


Solve the following quadratic equation.

5m2 + 2m + 1 = 0


Find the value of m so that the quadratic equation mx (x − 7) + 49 = 0 has two equal roots.


If in an A. P., d = 10, find t6 - t2.


Select the correct alternative and write it.        

What is the solution of the quadratic equation ` 2x^2-7x+6=0`


Find c if the system of equations cx+3y+(3 - c ) = 0, 12x + cy - c = 0 has infinitely many solutions?


Find k, one of the roots of the quadratic equation kx2 - 7x + 12 = 0 is 3.


Two water taps together can fill a tank in `1(7)/(8)`  hours. The tap with longer diameter takes 2 hours less than the tap with a smaller one to fill the tank separately. Find the time in which each tap can fill the tank separately.


Find c if the system of equations cx + 3y + (3 – c) = 0; 12x + cy – c = 0 has infinitely many solutions?


In an orchard there are total 200 trees. If the number of trees in each column is more by 10 than the number of trees in each row, then find the number of trees in each row


The ratio of fruit trees and vegetable trees in an orchard is 3:4. If 6 more trees of each type are planted, the ratio of trees would be 6:7. Find the number of fruit trees and vegetable trees in the orchard.

The ratio of fruit trees and vegetable trees = 3:4

So, let the number of fruit trees= 3x and the number of vegetable trees = `square` 

From the given condition,

`(3x + square)/(square + square) = square/square`

`square (3x + square) = square (square + square)`

`square + square = square + square`

`square - square = square - square`

`- square = - square`

`square = square`

x = `square`

∴ Number of fruit trees in the orchard = 3x = 3 × `square` = `square` and number of vegetable trees in the orchard = 4x = 4 × `square` = `square`

Hence, the number of fruit trees and vegetable trees in the orchard are `square` and `square` respectively.


In a right-angled triangle, altitude is 2 cm longer than its base. Find the dimensions of the right-angled triangle given that the length of its hypotenuse is 10 cm.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×