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Question(s) from Search: IIT

Select All	Search Results	Difficulty	Solution
126	Show that Show that	IIT 1981	01:28 min
127	The position vectors of the point A, B, C, D are respectively. If the points A, B, C and D lie in a plane, find the value of λ. The position vectors of the point A, B, C, D are respectively. If the points A, B, C and D lie in a plane, find the value of λ.	IIT 1986	03:41 min
128	If k = then the numerical value of k is ………. a) b) c) d) If k = then the numerical value of k is ………. a) b) c) d)	IIT 1993	02:32 min
129	If f (a) = then the value of is a) – 5 b) c) 5 d) None of these If f (a) = then the value of is a) – 5 b) c) 5 d) None of these	IIT 1983	01:55 min
130	Evaluate a) b) c) d) Evaluate a) b) c) d)	IIT 1983	05:32 min
131	Let A = . Determine a vector R satisfying and . Let A = . Determine a vector R satisfying and .	IIT 1990	03:53 min
132	If a, b, c are in Arithmetic Progression then the straight line will pass through a fixed point whose coordinates are . . . . . If a, b, c are in Arithmetic Progression then the straight line will pass through a fixed point whose coordinates are . . . . .	IIT 1984	01:35 min
133	If then tan a) True b) False If then tan a) True b) False	IIT 1979	01:42 min
134	Evaluate a) b) c) d) Evaluate a) b) c) d)	IIT 1985	04:33 min
135	Let C be the curve . If H is the set of points on the curve C when the tangent is horizontal and v be the set of all points on the curve C when the tangent is vertical then H = . . . . . and v = . . . . . Let C be the curve . If H is the set of points on the curve C when the tangent is horizontal and v be the set of all points on the curve C when the tangent is vertical then H = . . . . . and v = . . . . .	IIT 1994	04:09 min
136	In a triangle ABC, angle A is greater than angle B. If the measures of angle A and B satisfy the equation , then the measure of angle C is a) b) c) d) In a triangle ABC, angle A is greater than angle B. If the measures of angle A and B satisfy the equation , then the measure of angle C is a) b) c) d)	IIT 1990	01:43 min
137	Prove that C₀ – 2²C₁ + 3²C₂ − . . . + (−)ⁿ (n + 1)² C_n = 0 for n > 2 where Prove that C₀ – 2²C₁ + 3²C₂ − . . . + (−)ⁿ (n + 1)² C_n = 0 for n > 2 where	IIT 1989	05:31 min
138	Show that Show that	IIT 1990	05:42 min
139	The centre of the circle passing through (0, 1) and touching the curve at (2, 4) is a) b) c) d) None of these The centre of the circle passing through (0, 1) and touching the curve at (2, 4) is a) b) c) d) None of these	IIT 1983	07:23 min
140	Determine a positive integer n ≤ 5 such that . a) 1 b) 2 c) 3 d) 4 Determine a positive integer n ≤ 5 such that . a) 1 b) 2 c) 3 d) 4	IIT 1992	04:02 min
141	If a, b, c, d are distinct vectors satisfying relation and . Prove that If a, b, c, d are distinct vectors satisfying relation and . Prove that	IIT 2004	02:40 min
142	If two circles and intersect in two distinct points, then a) 2 < r < 8 b) r < 2 c) r = 2 d) r > 2 If two circles and intersect in two distinct points, then a) 2 < r < 8 b) r < 2 c) r = 2 d) r > 2	IIT 1989	04:34 min
143	The maximum value of cos₁cos₂cos_{3 ……}cos_nunder the restriction 0 _{1 ,}₂ , ₃…. , _nandcot₁cot₂cot_{3 ……}cot_n= 1 is a) b) c) d) The maximum value of cos₁cos₂cos_{3 ……}cos_nunder the restriction 0 _{1 ,}₂ , ₃…. , _nandcot₁cot₂cot_{3 ……}cot_n= 1 is a) b) c) d)	IIT 2001	03:43 min
144	The left hand derivative of f (x) = [x] sinπx at k, k an integer is a) (k – 1)π b) (k – 1)π c) kπ d) kπ The left hand derivative of f (x) = [x] sinπx at k, k an integer is a) (k – 1)π b) (k – 1)π c) kπ d) kπ	IIT 2001	03:56 min
145	Determine the value of a) b) c) d) Determine the value of a) b) c) d)	IIT 1997	06:07 min
146	Let f : ℝ → ℝ be such that f (1) = 3 and then equals a) 1 b) c) d) Let f : ℝ → ℝ be such that f (1) = 3 and then equals a) 1 b) c) d)	IIT 2002	02:57 min
147	For x > 0, let find the function and show that . Here . a) b) c) d) For x > 0, let find the function and show that . Here . a) b) c) d)	IIT 2000	06:08 min
148	If two distinct chords drawn from the point (p, q) on the circle (where pq ≠ 0) are bisected by the X-axis then a) b) c) d) If two distinct chords drawn from the point (p, q) on the circle (where pq ≠ 0) are bisected by the X-axis then a) b) c) d)	IIT 1999	05:52 min
149	Let are the perpendiculars from the vertices of a triangle to the opposite sides, then a) True b) False Let are the perpendiculars from the vertices of a triangle to the opposite sides, then a) True b) False	IIT 1978	02:41 min
150	The coefficient of x⁹⁹ in the polynomial (x – 1) (x – 2) . . . (x – 100) is The coefficient of x⁹⁹ in the polynomial (x – 1) (x – 2) . . . (x – 100) is	IIT 1982	02:12 min