Concept-wise Practice

touching-point MCQ Questions for Class 10

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

Practice Questions

6 questions tagged with touching-point.

Question 1/6 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-2+20x+100) है, तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?

If (p(x)=x-2+20x+100), at which point will the graph touch the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. ((-10,0))

Step 1

Concept

(x-2+20x+100=(x+10)2), so the touching point is ((-10,0)). Tip: change the sign in a perfect square to get the zero.

Step 2

Why this answer is correct

The correct answer is A. ((-10,0)). (x-2+20x+100=(x+10)2), so the touching point is ((-10,0)). Tip: change the sign in a perfect square to get the zero.

Step 3

Exam Tip

(x-2+20x+100=(x+10)2) है, इसलिए स्पर्श बिंदु ((-10,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।

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Question 2/6 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-2-18x+81) है, तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?

If (p(x)=x-2-18x+81), at which point will the graph touch the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. ((9,0))

Step 1

Concept

(x-2-18x+81=(x-9)2), so the touching point is ((9,0)). Tip: change the sign in a perfect square to get the zero.

Step 2

Why this answer is correct

The correct answer is A. ((9,0)). (x-2-18x+81=(x-9)2), so the touching point is ((9,0)). Tip: change the sign in a perfect square to get the zero.

Step 3

Exam Tip

(x-2-18x+81=(x-9)2) है, इसलिए स्पर्श बिंदु ((9,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।

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Question 3/6 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=x-2+14x+49) है तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?

If (p(x)=x-2+14x+49), at which point will the graph touch the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. ((-7,0))

Step 1

Concept

(x-2+14x+49=(x+7)2), so the touching point is ((-7,0)). Tip: in a perfect square, change the sign to get the zero.

Step 2

Why this answer is correct

The correct answer is A. ((-7,0)). (x-2+14x+49=(x+7)2), so the touching point is ((-7,0)). Tip: in a perfect square, change the sign to get the zero.

Step 3

Exam Tip

(x-2+14x+49=(x+7)2) है इसलिए स्पर्श बिंदु ((-7,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।

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Question 4/6 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-2-12x+36) है, तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?

If (p(x)=x-2-12x+36), at which point will the graph touch the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. ((6,0))

Step 1

Concept

(x-2-12x+36=(x-6)2), so the touching point is ((6,0)). Tip: in a perfect square, change the sign to get the zero.

Step 2

Why this answer is correct

The correct answer is A. ((6,0)). (x-2-12x+36=(x-6)2), so the touching point is ((6,0)). Tip: in a perfect square, change the sign to get the zero.

Step 3

Exam Tip

(x-2-12x+36=(x-6)2) है, इसलिए स्पर्श बिंदु ((6,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।

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Question 5/6 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-2+8x+16) है, तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?

If (p(x)=x-2+8x+16), at which point will the graph touch the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. ((-4,0))

Step 1

Concept

(x-2+8x+16=(x+4)2), so the touching point is ((-4,0)). Tip: in a perfect square the sign changes to get the zero.

Step 2

Why this answer is correct

The correct answer is A. ((-4,0)). (x-2+8x+16=(x+4)2), so the touching point is ((-4,0)). Tip: in a perfect square the sign changes to get the zero.

Step 3

Exam Tip

(x-2+8x+16=(x+4)2), इसलिए स्पर्श बिंदु ((-4,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।

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Question 6/6 Easy Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

एक बहुपद का ग्राफ (x)-अक्ष को केवल ((-2,0)) पर छूता है। अलग वास्तविक शून्यक कौन-सा है?

A polynomial graph only touches the (x)-axis at ((-2,0)). What is the distinct real zero?

Explanation opens after your attempt
Correct Answer

A. (-2)

Step 1

Concept

A touching point also gives (p(x)=0). Therefore the distinct real zero is (-2).

Step 2

Why this answer is correct

The correct answer is A. (-2). A touching point also gives (p(x)=0). Therefore the distinct real zero is (-2).

Step 3

Exam Tip

छूने वाला बिंदु भी (p(x)=0) देता है। इसलिए अलग वास्तविक शून्यक (-2) है।

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