Read and download the CBSE Class 10 Quadratic Equations Sure Shot Questions Set D. Designed for 2025-26, this advanced study material provides Class 10 Mathematics students with detailed revision notes, sure-shot questions, and detailed answers. Prepared by expert teachers and they follow the latest CBSE, NCERT, and KVS guidelines to ensure you get best scores.
Advanced Study Material for Class 10 Mathematics Chapter 4 Quadratic Equations
To achieve a high score in Mathematics, students must go beyond standard textbooks. This Class 10 Chapter 4 Quadratic Equations study material includes conceptual summaries and solved practice questions to improve you understanding.
Class 10 Mathematics Chapter 4 Quadratic Equations Notes and Questions
CBSE Class 10 Quadratic Equations Sure Shot Questions Set D. There are many more useful educational material which the students can download in pdf format and use them for studies. Study material like concept maps, important and sure shot question banks, quick to learn flash cards, flow charts, mind maps, teacher notes, important formulas, past examinations question bank, important concepts taught by teachers. Students can download these useful educational material free and use them to get better marks in examinations. Also refer to other worksheets for the same chapter and other subjects too. Use them for better understanding of the subjects.
1. Find the value of k for which the quadratic equation 2x2+ kx + 3 = 0 has two real equal roots.
2. Find the value of k for which the quadratic equation kx(x – 3) + 9 = 0 has two real equal roots.
3. Find the value of k for which the quadratic equation 4x2 – 3kx + 1 = 0 has two real equalroots..
4. If –4 is a root of the equation x2+ px – 4 = 0 and the equation x2+ px +q = 0 has equal roots, find the value of p and q.
5. If –5 is a root of the equation 2x2+ px – 15 = 0 and the equation p(x2+ x) +k = 0 has equal roots, find the value of k.
6. Find the value of k for which the quadratic equation (k – 12)x2+ 2(k – 12)x + 2 = 0 has two real equal roots..
7. Find the value of k for which the quadratic equation k2x2 – 2(k – 1)x + 4 = 0 has two real equal roots..
8. If the roots of the equation (a – b)x2+ (b – c)x + (c – a) = 0 are equal, prove that b + c = 2a.
9. Prove that both the roots of the equation (x – a)(x – b) + (x – b)(x – c)+ (x – c)(x – a) = 0 arereal but they are equal only when a = b = c.
10. Find the positive value of k for which the equation x2+ kx +64 = 0 and x2– 8x +k = 0 will have real roots.
11. Find the value of k for which the quadratic equation kx2– 6x – 2 = 0 has two real roots.
12. Find the value of k for which the quadratic equation 3x2 + 2x + k= 0 has two real roots.
13. Find the value of k for which the quadratic equation 2x2+ kx + 2 = 0 has two real roots.
14. Show that the equation 3x2+ 7x + 8 = 0 is not true for any real value of x.
15. Show that the equation 2(a2+ b2)x2 + 2(a + b)x + 1 = 0 has no real roots, when a ¹ b.
16. Find the value of k for which the quadratic equation kx2+ 2x + 1 = 0 has two real and distinct roots.
17. Find the value of p for which the quadratic equation 2x2+ px + 8 = 0 has two real and distinct roots.
18. If the equation (1 + m2)x2+ 2mcx + (c2– a2) = 0 has equal roots, prove that c2 = a2(1 + m2).
Please click the link below to download CBSE Class 10 Quadratic Equations Sure Shot Questions Set D.
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Important Practice Resources for Class 10 Mathematics
CBSE Class 10 Mathematics Chapter 4 Quadratic Equations Study Material
We hope students liked the above Study Material for Chapter 4 Quadratic Equations designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download the Study Material in Pdf format, read the notes and related questions and solutions given in above Class 10 Mathematics Study Material on daily basis. All latest Study Material have been developed for Mathematics by referring to the most important and regularly asked topics which the students should learn and practice to get better score in school tests and examinations. Expert teachers of studiestoday have referred to NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 Study Material. After solving the questions given in the Study Material which have been developed as per latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers. Also download Class 10 Mathematics Sample Papers given on studiestoday. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter.
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