Concept-wise Practice

perfect-square-discriminant MCQ Questions for Class 10

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Practice Questions

3 questions tagged with perfect-square-discriminant.

किस मान पर (x-2-(a+3)x+3a=0) के मूल समान होंगे?

For which value will (x-2-(a+3)x+3a=0) have equal roots?

Explanation opens after your attempt
Correct Answer

A. (a=3)

Step 1

Concept

(D=(a+3)2-12a=(a-3)2). For (D=0), (a=3).

Step 2

Why this answer is correct

The correct answer is A. (a=3). (D=(a+3)2-12a=(a-3)2). For (D=0), (a=3).

Step 3

Exam Tip

(D=(a+3)2-12a=(a-3)2) है। (D=0) के लिए (a=3) होगा।

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\(x^2-14x+13=0\) के मूल द्विघात सूत्र से क्या हैं?

What are the roots of \(x^2-14x+13=0\) by quadratic formula?

Explanation opens after your attempt
Correct Answer

A. (x=1,13)

Step 1

Concept

(D=(-14)2-4(1)(13)=144), so \(x=\frac{14\pm12}{2}\) gives (1) and (13). In exams, if (D) is a perfect square, simplify quickly.

Step 2

Why this answer is correct

The correct answer is A. (x=1,13). (D=(-14)2-4(1)(13)=144), so \(x=\frac{14\pm12}{2}\) gives (1) and (13). In exams, if (D) is a perfect square, simplify quickly.

Step 3

Exam Tip

(D=(-14)2-4(1)(13)=144), इसलिए \(x=\frac{14\pm12}{2}\) से (1) और (13) मिलते हैं। परीक्षा में (D) पूर्ण वर्ग हो तो उत्तर जल्दी सरल करें।

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\(x^2-12x+11=0\) के मूल द्विघात सूत्र से क्या हैं?

What are the roots of \(x^2-12x+11=0\) by quadratic formula?

Explanation opens after your attempt
Correct Answer

A. (x=1,11)

Step 1

Concept

(D=(-12)2-4(1)(11)=100), so \(x=\frac{12\pm10}{2}\) gives (1) and (11). In exams, if (D) is a perfect square, simplify quickly.

Step 2

Why this answer is correct

The correct answer is A. (x=1,11). (D=(-12)2-4(1)(11)=100), so \(x=\frac{12\pm10}{2}\) gives (1) and (11). In exams, if (D) is a perfect square, simplify quickly.

Step 3

Exam Tip

(D=(-12)2-4(1)(11)=100), इसलिए \(x=\frac{12\pm10}{2}\) से (1) और (11) मिलते हैं। परीक्षा में (D) पूर्ण वर्ग हो तो उत्तर जल्दी सरल करें।

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