Question:
दिया गया समीकरण क के मान ज्ञात करें: \( kx^2 - 7x + 12 = 0 \) या समीकरण में एक मूल 3 है, तो \( k = \) ..............
दिया गया समीकरण क के मान ज्ञात करें: \( kx^2 - 7x + 12 = 0 \) या समीकरण में एक मूल 3 है, तो \( k = \) ..............
Updated On: Nov 6, 2025
- 1
- -1
- 3
- -3
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
समीकरण \( kx^2 - 7x + 12 = 0 \) है और हमें यह दिया गया है कि इसका एक मूल 3 है। इसे हल करने के लिए हम x = 3 को समीकरण में रखें: \[ k(3)^2 - 7(3) + 12 = 0 \] \[ 9k - 21 + 12 = 0 \] \[ 9k - 9 = 0 \] \[ 9k = 9 \] \[ k = 1 \] तो, \( k = 3 \) है।
Was this answer helpful?
0
0
Top Maharashtra Class X Board Mathematics Questions
- Out of the following which is a Pythagorean triplet ?
- \(\angle\)ACB is inscribed angle in a circle with centre O. If \(\angle\)ACB = 65\(^{\circ}\), then what is measure of its intercepted arc AXB ?
- Distance of point (3, 4) from the origin is .................. .
- If radius of cone is 5 cm and its perpendicular height is 12 cm, then the slant height is ...................... .
In the following figure \(\triangle\) ABC, B-D-C and BD = 7, BC = 20, then find \(\frac{A(\triangle ABD)}{A(\triangle ABC)}\).
View More Questions
Top Maharashtra Class X Board Algebra Questions
- i.Complete the following activity and find the value of \(x\):
\[ \begin{aligned} 5x + 3y &= 9 \quad \text{...(I)} \\ 2x - 3y &= 12 \quad \text{...(II)} \end{aligned} \] - Complete the following activity to determine the nature of the roots of the quadratic equation \(x^2 + 2x - 9 = 0\):
- Solve the following simultaneous equations: \[ x + y = 4 \quad \text{and} \quad 2x - y = 2 \]
- Write the following equation in the form \(ax^2 + bx + c = 0\), then write the values of \(a, b, c\):
\[ 2y = 10 - y^2 \] - Solve the following simultaneous equations using Cramer’s Rule: \[ 4m + 6n = 54 \quad \text{and} \quad 3m + 2n = 28 \]
View More Questions
Top Maharashtra Class X Board Questions
- Pick out the infinitive from the following sentence :
He was asking to go for the concert. - Identify the type of the sentence:
Get out and wait in the yard. - Arrange the following words in alphabetical order:
inventions, inequality, indisputable, interactions - Complete the word chain of nouns:
Podium, m .........., .........., .........., .......... - Punctuate the following sentence:
can you cook
View More Questions