Concept-wise Practice

trap MCQ Questions for Class 10

trap se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

3 questions tagged with trap.

यदि (p(x)=x-3+px-2+qx+15) के शून्यक (-1,3,-5) हैं, तो (p+q) क्या है?

If the zeroes of (p(x)=x-3+px-2+qx+15) are (-1,3,-5), what is (p+q)?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

The sum of zeroes is (-3), so (p=3). The pairwise product sum is (-3+5-15=-13), so (q=-13) and (p+q=-10).

Step 2

Why this answer is correct

The correct answer is B. (2). The sum of zeroes is (-3), so (p=3). The pairwise product sum is (-3+5-15=-13), so (q=-13) and (p+q=-10).

Step 3

Exam Tip

शून्यकों का योग (-3) है, इसलिए (p=3)। युग्म गुणनफलों का योग (-3+5-15=-13), इसलिए (q=-13) और (p+q=-10)।

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यदि (p(x)=2x-3+kx-2-11x+5) को (x+1) से भाग देने पर शेष (7) है, तो (k) क्या है?

If (p(x)=2x-3+kx-2-11x+5) leaves remainder (7) when divided by (x+1), what is (k)?

Explanation opens after your attempt
Correct Answer

B. (-9)

Step 1

Concept

By the remainder theorem (p(-1)=7), so (-2+k+11+5=7). This gives (k=-7), so none of the listed options is correct.

Step 2

Why this answer is correct

The correct answer is B. (-9). By the remainder theorem (p(-1)=7), so (-2+k+11+5=7). This gives (k=-7), so none of the listed options is correct.

Step 3

Exam Tip

शेष प्रमेय से (p(-1)=7), इसलिए (-2+k+11+5=7)। इससे (k=-7) नहीं बल्कि (k=-7) आता है, इसलिए विकल्पों में सही मान नहीं है।

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यदि (p(x)=x-3-7x+6), तो इनमें से कौन-सा (p(x)) का गुणनखंड नहीं है?

If (p(x)=x-3-7x+6), which of the following is not a factor of (p(x))?

Explanation opens after your attempt
Correct Answer

A. (x+3)

Step 1

Concept

(p(-3)=-27+21+6=0), so (x+3) is actually a factor. This reveals an option error, so check each option using (p(a)).

Step 2

Why this answer is correct

The correct answer is A. (x+3). (p(-3)=-27+21+6=0), so (x+3) is actually a factor. This reveals an option error, so check each option using (p(a)).

Step 3

Exam Tip

(p(-3)=-27+21+6=0), इसलिए (x+3) वास्तव में गुणनखंड है। सही जाँच में यह प्रश्न विकल्प-त्रुटि दिखाता है, इसलिए हर विकल्प को (p(a)) से जाँचें।

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