(Mathematics) NDA/NA SOLVED PAPER 2023 – II (51 to 100)♠Total Questions: 501. What is the directrix of the parabola?(a) y = - 1/8(b) y = 1/8(c) x = - 1/8(d) x = 1/8Correct Answer: (a) y = - 1/8Solution:2. What is the length of latus rectum of the parabola?(a) 1(b) 1/2(c) 1/4(d) 1/8Correct Answer: (b) 1/2Solution:Since, length of lotus Rectum of parabola = 4 × 1/8 = 1/23. equal to?(a) ln(ab)/4(b) ln(ab)/2(c) ln (ab)(d) 2 ln (ab)Correct Answer: (b) ln(ab)/2Solution:4. equal to?(a) √ab(b) ab(c) 2ab(d) √ab/2Correct Answer: (a) √abSolution:5. What is the domain of the function?Let f(x) = √2 - x + √2 + x .(a) (-2, 2)(b) [ -2, 2](c) R -( -2, 2)(d) R - [ -2, 2]Correct Answer: (b) [ -2, 2]Solution:6. What is the greatest value of the function?Let f(x) = √2 - x + √2 + x .(a) √3(b) √6(c) √8(d) 4Correct Answer: (c) √8Solution:If we put x = 0 then f(x) = 2√2 = √8 is greatest value of f(x)7. equal to?(a) -2(b) -1(c) 0(d) 1Correct Answer: (b) -1Solution:8. equal to?(a) -2(b) -1(c) 0(d) 2Correct Answer: (a) -2Solution:9. What is the value of a?(a) -1(b) 1(c) 2(d) 3Correct Answer: (d) 3Solution:-1 + a = 1 + 1 ⇒ a = 310. What is the value of b?(a) -1(b) 1(c) 2(d) 3Correct Answer: (b) 1Solution:⇒ -1 + a = a - b ⇒ b = 1Submit Quiz12345Next »