Ncert- class10-Maths -Polynomial 1 Welcome to your Ncert- class10-Maths -Polynomial 1 1. 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 ±15 ±12 ±18 ±9 None 2. The maximum number of zeroes a cubic polynomial can have, is 2 3 1 4 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) 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. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). None 4. If one zero of the polynomial (3x² + 8x +k) is the reciprocal of the other, then value of k is -1/3 -3 1/3 3 None 5. If one zero of the quadratic polynomial x² +3x + k is 2, then the value of k is -10 -2 -7 10 None 6. 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 7. If one of the zeroes of the quadratic polynomial (k-1)x² +kx +1is -3, then the value of k is -4/3 4/3 -2/3 2/3 None 8. If the zeroes of the quadratic polynomial x² +(a+1)x+b are 2 and -3, then a =5, b =-1 a =2, b =-6 a =-7, b =-1 a =0, b =-6 None 9. A quadratic polynomial, whose zeroes are -3 and 4, is x²/2 - x/2 -6 x² +x +12 2x² +2x +24 x² -x +12 None 10. The value of x, for which the polynomials x² -1 and x²-2x +1 vanish simultaneously, is -2 1 -1 2 None 11. 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 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). None 12. If one zero of a quadratic polynomial (kx² + 3x +k) is 2 then the value of k is -6/5 6/5 -5/6 5/6 None 13. The zeroes of the polynomial x²-3x-m(m+3) are -m,-(m+3) -m,m+3 m, m+3 m,-(m+3) None 14. Assertion : x³+x has only one real zero.ReansoA : A polynomial of nth degree must have n real zeroes. 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. Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). None 15. 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 16. The zeroes of the quadratic polynomial x² + kx + k where k ≠0 are always unequal cannot both be positive cannot both be negative are always equal None 17. The zeroes of the quadratic polynomial x² +99x+127 are both positive one positive and one negative both equal both negative None 18. Lowest value of x² +4x + 2 is 2 4 -2 0 None 19. 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 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 false but reason (R) is true. Assertion (A) is true but reason (R) is false. None 20. the polynomial x^8 - x^5 +x^2 -x+1 negative for all the real numbers positive for all the real numbers depends on value of x 0 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.