Ncert- class10-Maths -Quadratic Equations 1 Welcome to your Ncert- class10-Maths -Quadratic Equations 1 1. Assertion : 4x² - 12x +9 =0 has repeated roots.Reason : The quadratic equation ax² +bx +c =0 have repeated roots if dicriminant D>0 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion 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. Assertion (A) is true but reason (R) is false. None 2. Assertion : The equation 8x² +3kx +2 =0 has equal roots then the value of k is ±8/3Reanson : The equation ax² +bx +c =0 has equal roots if D= b²-4ac = 0 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. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Assertion (A) is false but reason (R) is true. None 3. If one root of the quadratic equation ax² +bx +c =0 is the reciprocal of the other, then b= c a= b ac =1 a= c None 4. Assertion : The values of x are -a/2, a for a quadratic equation 2x²+ax+a²=0Reason : For quadratic equation ax² +bx +c = 0$$x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$$ Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). 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). None 5. Each root of x² -bx +c =0 is decreased by 2. The resulting equation is x² -2x +1 =0, then b= 3, c =5 b = 6, c= 9 b =-4, c= 3 b =2 , c =-1 None 6. If α and β are the zeroes of the polynomial 2x² -13x +6 then α + β is equal to -3 13/2 3 -13/2 None 7. Assertion: The equation x²+3x+1 =(x-2)² is a quadratic equationReason : 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 8. if x² +y² =25, xy =12 then x is (3, 4 , -3, -4) (3, -3 ) (3,4) (-3, 3) None 9. Value(s) of k for which the quadratic equation 2x² - kx+k=0 has equal roots is/are 8 0 0,8 4 None 10. The linear factors of the quadratic equation x² +kx +1 =0 are k≤ 2 k≥ -2 2≤ k≤ -2 k≥2 None 11. The condition for one root of the quadratic equation ax² + bx +c =0 , to be twice the other, is c² =4a - b² b² =4ac c² =4a+b² 2b² =9ac None 12. If α and β are the zeroes of the polynomial x² +2x +1, then (1/α) + (1/β) is equal to -2 0 2 1 None 13. If the sum of the zeroes of the quadratic polynomial kx² +2x+3k is equal to their product, then k equals 2/3 1/3 -1/3 -2/3 None 14. The sum and product of the zeroes of a quadratic polynomial are 3 and -10 respectively. The quadratic polynomial is x²-3x+10 x²-3x-10 x²+3x-10 x²+3x+10 None 15. Assertion: If one root of the quadratic equation 2x² + kx –6 = 0 is 2, the value of k is -1Reason: x = 2 is a root of the equation 2x² + kx -6 = 0Choose the correct answer out of the following choices: Assertion is correct statement but Reason is wrong statement Assertion and Reason both are correct statements but Reason is not the correct explanation of Assertion. ) Assertion and Reason both are correct statements and Reason is the correct explanation of Assertion. Assertion is wrong statement but Reason is correct statement. None 16. Assertion : The roots of the quadratic equation x²+2x+2=0 are imaginaryReason : 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 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 17. Assertion: The discriminant of the quadratic equation. 2x² – 4x + 3 = 0, is -8 and hence the nature of its roots is no real roots.Reason: if b²-4ac<0, the nature of root is no real roots. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion assertion is true but the reason is false. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion both assertion and reason are false None 18. The quadratic equation x²+x -5 =0 has more than 2 real roots two equal real roots no real roots two distinct real roots None 19. The roots of the quadratic equation . x²-0.04 = 0 are 2 ±0.2 0.4 ±0.02 None 20. If ½ is a root of the equation x² +kx -5/4 =0, then the value of k is 1/2 1/4 -2 2 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.
