Mathematics-Quadratic Equations [NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension]: Questions 1 - 9 of 12
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Question 1
Question MCQ▾
Sum of the roots of the equation x2 + 5x + 6 = 0 is
Choices
Choice (4) | Response | |
---|---|---|
a. | 4 | |
b. | -4 | |
c. | 5 | |
d. | -5 |
Question 2
Question MCQ▾
If one root of 3x2 = 8x + (2k + 1) is seven times the other, then the value of k is
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 3
Question 4
Question 5
Question MCQ▾
The roots of the equation are 1 and 2. The roots of the equation must be
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | None of the above |
Question 6
Question MCQ▾
If and are the roots of the equation , then is equal to
Choices
Choice (4) | Response | |
---|---|---|
a. | a 2 + a 4) 2 | |
b. | ||
c. | ||
d. | Question does not provide sufficient data or is vague |
Question 7
Question MCQ▾
If the zeroes of the polynomial are reciprocal of each other, then the value of k is
Choices
Choice (4) | Response | |
---|---|---|
a. | 1 | |
b. | -2 | |
c. | -1 | |
d. | 2 |
Question 8
Question MCQ▾
If and are the roots of the equation , then an equation whose roots are and is
Choices
Choice (4) | Response | |
---|---|---|
a. | ax2- bx + c = 0 | |
b. | bx2 + ax + c = 0 | |
c. | cx2 + bx + a = 0 | |
d. | cx2 + ax + b = 0 |
Question 9
Question MCQ▾
A solid is hemispherical at the bottom and conical above. If the surface areas of the two parts are equal, then the ratio of its radius and the height of its conical part is
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |