Ncert -class 10-Maths- ARITHMETIC PROGRESSIONS 1 Welcome to your Ncert -class 10-Maths- ARITHMETIC PROGRESSIONS 1 1. The 10th term from the end of the A.P. 4, 9,14, …, 254 is 209 214 213 205 None 2. The (n – 1)th term of an A.P. is given by 7,12,17, 22,… is 5n – 3 5n + 2 5n – 5 5n + 3 None 3. What can you say about the roots of quadratic equation, if the value ofdiscriminant, D < 0 Roots are real and unequal None of the above Roots are imaginary Roots are real and equal None 4. Which one of the following is not a quadratic equation? x³-x²=(x-1)³ 2(x – 1)² = 4x² – 2x + 1 2x-x²=x²+5 (x + 2) (x – 1) = x² – 2x – 3 None 5. What are the roots of 4x² – 3x + 25 = 3x² +7x -5 , -5 5, 5 none of these 5, -5 None 6. The sum of all odd integers between 2 and 100 divisible by 3 is 876 17 786 867 None 7. Assertion: (2x – 1)² – 4x² + 5 = 0 is not a quadratic equation.Reason: An equation of the form ax² + bx + c = 0, a ≠ 0, where a, b, c ∈ R iscalled a quadratic equation If Assertion is incorrect but Reason is correct. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. If Assertion is correct but Reason is incorrect. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. None 8. The length of a rectangular park (in metres) is four more than its breadth and its area is 52m² b²+4b+52=0 b²+4b-52=0 b²-4b-52=0 b²-4b-52=0 None 9. The product of two consecutive positive integers is 132 x² - x +132 = 0 x² + x -132 = 0 x² + x +132 = 0 x² - x -132 = 0 None 10. Assertion : The equation x²+3x+1 = (x-2)² is a quadratic equation.Reason : Any equation of the form ax²+bx+c = 0 where a ≠ 0, is called a quadratic equation Assertion (A) is false but reason (R) is true. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Assertion (A) is true but reason (R) is false Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). None 11. Assertion : The roots of the quadratic equation x²+2x+2=0 are imaginary.Reason : If discriminant D = b²-4ac < 0 then the roots of quadratic equation ax2+bx+c= 0 are imaginary. Assertion (A) is false but reason (R) is true Assertion (A) is true but reason (R) is false. Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). None 12. If the sum of three numbers in an A.P. is 9 and their product is 24, then numbers are. 2, 8, 4 1, 5, 3 2, 4, 6 2, 3, 4 None 13. The sum of all odd integers between 2 and 100 divisible by 3 is 786 876 17 867 None 14. The 10th term from the end of the A.P. 4, 9,14, …, 254 is 214 213 205 209 None 15. If a, b, c, d, e are in A.P., then the value of a – 4b + 6c – 4d + e is 1 0 -1 2 None 16. The sum of all two digit odd numbers is 2575 2475 2524 2425 None 17. A teacher asked students to find the roots of the equation 6x² + 11x + 3 = 0.Two students Deep and Nayan gave following answers. Deep said one of theroots is -1/3 and Nayan said one of the roots is ½. Who is correct Both Deep and Nayan Nayan Neither Deep nor Nayan Deep None 18. Assertion : The equation 8x²+3kx+2 = 0 has equal roots then the value of k is ± 8.Reason : The equation ax²+bx+c = 0 has equal roots if D = b2-4ac = 0 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) Assertion (A) is true but reason (R) is false. Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A) Assertion (A) is false but reason (R) is true. None 19. Assertion : 4x²-12x+9 = 0 has repeated roots.Reason : The quadratic equation ax²+bx+c = 0 have repeated roots ifdiscriminant D > 0. Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). Assertion (A) is false but reason (R) is true Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Assertion (A) is true but reason (R) is false. None Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
