Ncert- class10-Maths -Polynomial 1 Welcome to your Ncert- class10-Maths -Polynomial 1 1. Assertion : If both zeros of the quadratic polynomial x²-2x+2 are equal in magnitude but opposite in sign then value of k is ½. Reanson : Sum of zeros of a quadratic polynomial ax² +bx +c is -b/a 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 2. If one zero of the quadratic polynomial x² +3x + k is 2, then the value of k is -2 10 -7 -10 None 3. Assertion : If one zero of poly-nominal p(x) = (k² + 4) x² +13x +4k is is reciprocal of other, then k =2Reanson : If (x -α ) is a factor of p(x), then p(α) =0 i.e. α is a zero of p(x) 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 4. The value of x, for which the polynomials x² -1 and x²-2x +1 vanish simultaneously, is 1 2 -1 -2 None 5. Assertion : x³+x has only one real zero.ReansoA : A polynomial of nth degree must have n real zeroes. 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 6. The quadratic polynomial, the sum of whose zeroes is -5 and their product is 6, is -x²+5x+6 x²-5x-6 x²-5x+6 x²+5x+6 None 7. If the zeroes of the quadratic polynomial x² +(a+1)x+b are 2 and -3, then a =2, b =-6 a =0, b =-6 a =-7, b =-1 a =5, b =-1 None 8. If one zero of a quadratic polynomial (kx² + 3x +k) is 2 then the value of k is 6/5 5/6 -6/5 -5/6 None 9. the polynomial x^8 - x^5 +x^2 -x+1 positive for all the real numbers 0 negative for all the real numbers depends on value of x None 10. The zeroes of the polynomial x²-3x-m(m+3) are m, m+3 m,-(m+3) -m,m+3 -m,-(m+3) None 11. The zeroes of the quadratic polynomial x² + kx + k where k ≠0 are always equal cannot both be negative cannot both be positive are always unequal None 12. If one of the zeroes of the quadratic polynomial (k-1)x² +kx +1is -3, then the value of k is -2/3 2/3 -4/3 4/3 None 13. The zeroes of the quadratic polynomial x² +99x+127 are both positive both equal both negative one positive and one negative None 14. Assertion : p(x) = 14x³ -2x² +8x^4 +7x -8 is a polynomial of degree 3. Reanson : The highest power of x in the polynomial p(x) is the degree of the polynomial. 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). Assertion (A) is false but reason (R) is true. Assertion (A) is true but reason (R) is false. None 15. Assertion : (2- √3) is one zero of the quadratic polynomial then other zero will be (2+ √3). Reanson : Irrational zeros (roots) always occurs in pairs. 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). Assertion (A) is false but reason (R) is true. None 16. Lowest value of x² +4x + 2 is 2 0 4 -2 None 17. A quadratic polynomial, whose zeroes are -3 and 4, is x²/2 - x/2 -6 x² -x +12 x² +x +12 2x² +2x +24 None 18. If the square of difference of the zeroes of the quadratic polynomial x² +px + 45 is equal to 144, then the value of p is ±12 ±15 ±18 ±9 None 19. The maximum number of zeroes a cubic polynomial can have, is 4 2 1 3 None 20. If one zero of the polynomial (3x² + 8x +k) is the reciprocal of the other, then value of k is -3 -1/3 3 1/3 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.