Ncert -class 10-Maths- ARITHMETIC PROGRESSIONS 1 Welcome to your Ncert -class 10-Maths- ARITHMETIC PROGRESSIONS 1 1. If the sum of three numbers in an A.P. is 9 and their product is 24, then numbers are. 2, 3, 4 2, 8, 4 2, 4, 6 1, 5, 3 None 2. 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. Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). Assertion (A) is true but reason (R) is false. 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). None 3. 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 4. 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 Assertion (A) is false but reason (R) is true. 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) Assertion (A) is true but reason (R) is false. None 5. 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 Nayan Neither Deep nor Nayan Both Deep and Nayan Deep None 6. 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. Assertion (A) is true but reason (R) is false Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). None 7. The sum of all odd integers between 2 and 100 divisible by 3 is 876 17 867 786 None 8. 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 9. The sum of all odd integers between 2 and 100 divisible by 3 is 17 786 876 867 None 10. The (n – 1)th term of an A.P. is given by 7,12,17, 22,… is 5n + 2 5n + 3 5n – 5 5n – 3 None 11. The 10th term from the end of the A.P. 4, 9,14, …, 254 is 209 205 213 214 None 12. 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 both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. If Assertion is correct but Reason is incorrect. If Assertion is incorrect but Reason is correct. None 13. The 10th term from the end of the A.P. 4, 9,14, …, 254 is 213 214 209 205 None 14. Which one of the following is not a quadratic equation? 2x-x²=x²+5 (x + 2) (x – 1) = x² – 2x – 3 x³-x²=(x-1)³ 2(x – 1)² = 4x² – 2x + 1 None 15. The sum of all two digit odd numbers is 2524 2425 2475 2575 None 16. What can you say about the roots of quadratic equation, if the value ofdiscriminant, D < 0 Roots are real and equal Roots are real and unequal None of the above Roots are imaginary None 17. If a, b, c, d, e are in A.P., then the value of a – 4b + 6c – 4d + e is 0 2 1 -1 None 18. 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 19. What are the roots of 4x² – 3x + 25 = 3x² +7x none of these -5 , -5 5, -5 5, 5 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.
