Ncert- class10-Maths -Polynomial 1 Welcome to your Ncert- class10-Maths -Polynomial 1 1. If one zero of the polynomial (3x² + 8x +k) is the reciprocal of the other, then value of k is -3 1/3 -1/3 3 None 2. The maximum number of zeroes a cubic polynomial can have, is 3 1 4 2 None 3. 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 4. 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. 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 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 5. The zeroes of the polynomial x²-3x-m(m+3) are -m,-(m+3) m, m+3 -m,m+3 m,-(m+3) None 6. The zeroes of the quadratic polynomial x² +99x+127 are both equal one positive and one negative both negative both positive None 7. The zeroes of the quadratic polynomial x² + kx + k where k ≠0 cannot both be positive cannot both be negative are always unequal are always equal None 8. the polynomial x^8 - x^5 +x^2 -x+1 positive for all the real numbers depends on value of x 0 negative for all the real numbers None 9. 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 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 true but reason (R) is false. Assertion (A) is false but reason (R) is true. None 10. 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. 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 11. 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 ±9 ±18 None 12. A quadratic polynomial, whose zeroes are -3 and 4, is x² -x +12 x² +x +12 2x² +2x +24 x²/2 - x/2 -6 None 13. If the zeroes of the quadratic polynomial x² +(a+1)x+b are 2 and -3, then a =5, b =-1 a =0, b =-6 a =-7, b =-1 a =2, b =-6 None 14. Lowest value of x² +4x + 2 is 2 -2 4 0 None 15. Assertion : x³+x has only one real zero.ReansoA : A polynomial of nth degree must have n real zeroes. 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 16. If one of the zeroes of the quadratic polynomial (k-1)x² +kx +1is -3, then the value of k is -4/3 2/3 4/3 -2/3 None 17. The value of x, for which the polynomials x² -1 and x²-2x +1 vanish simultaneously, is 1 -1 2 -2 None 18. 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) 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) 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). None 19. If one zero of the quadratic polynomial x² +3x + k is 2, then the value of k is -2 10 -7 -10 None 20. 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 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.