The Line Joining Ab Cos Alpha B Sin Alpha And B A Cos Beta A Sin Beta Where A Notequals B Is Produced To The Point M X Y So That Am Mb B A
1) 0 2) 1 3) – 1 4) a2 + b2 Solution: Option (1) 0 Given that AM: BM =... View Article
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The Equation Of The Base Bc Of An Equilateral Abc Is X Plus Y 2 And A Is 2 1 The Length Of The Side Of The Triangle Is
1) √2 2) (3/2)1/2 3) (1/2)1/2 4) (2/3)1/2 Solution: Option (4) (⅔)1/2 Given that the vertex A = (2, -1)... View Article
If The Line 2x Plus Y K Passes Through The Point Which Divides The Segment Joining The Points 1 1 And 2 4 In The Ratio 3 2 Then K Is Equal To
1) 29/5 2) 5 3) 6 4) 11/15 Solution: Option (3) 6 Let A= (1, 1), and B = (2,... View Article
The Triangle Joining The Points P 2 7 Q 4 1 And R 2 6 Is
1) isosceles triangle 2) equilateral triangle 3) right-angled triangle 4) None of these Solution: Option (3) Right angled triangle Given... View Article
The value of [latex]tan\: [tan^{-1}\left ( \frac{1}{2} \right )- tan^{-1}\left ( \frac{1}{3} \right )][/latex] is
1) 5/6 2) 7/6 3) 1/6 4) 1/7 Answer: (4) 1/7 Solution: Let tan-1(1/2) = A tan A = 1/2... View Article
The Value Of Tan Of Sin Inverse 3 5 Plus Cos Inverse 3 Roor13 Is
1) 6/17 2) 6/√13 3) √13/5 4) 17/6 Answer: (4) 17/6 Solution: Let sin-1(3/5) = A sin A = 3/5... View Article
Cos Of Cos Inverse 1 7 Plus Sin Inverse 1 7
1) -1/3 2) 0 3) 1/3 4) 4/9 Answer: (2) 0 Solution: cos[cos-1(-1/7) + sin-1(-1/7)] We know that sin-1(x) +... View Article
If Cos Inverse X Plus Cos Inverse Y Plus Cos Inverse Z 3pi Then
1) 0 2) 1 3) 2 4) 3 Answer: (4) 3 Solution: Given, cos-1(x) + cos-1(y) + cos-1(z) = 3π... View Article
The Value Of Sin Inverse Root 3 2 Minus Sin Inverse 1 2 Is
1) 45° 2) 90° 3) 15° 4) 30° Answer: (4) 30° Solution: sin-1(√3/2) – sin-1(1/2) As we know sin 60°... View Article
Sin Tan Inverse 1 Minus X Square 2x Plus Cos Inverse 1 Minus X Square 1
1) 0 2) 1 3) √2 4) 1/√2 Answer: (2) 1 Solution: Let x = tan A tan-1[(1 – x2)/2x]... View Article
If Sin Inverse 3 5 Plus Cos Inverse 12 13 Sin Inverse C Then
1) 65/56 2) 24/65 3) 16/65 4) 56/65 Answer: (4) 56/65 Solution: Let cos-1(12/13) = A cos A = 12/13... View Article
If 4 Sin Inverse X Plus Cos Inverse X Pi Then X Is
1) 0 2) 1/2 3) -√3/2 4) 1/√2 Answer: (2) 1/2 Solution: Given, 4 sin-1(x) + cos-1(x) = π 3... View Article
The Value Of Cos Inverse Cos 5pi 3 Plus Sin Inverse Sin 5pi 3 Is
1) 0 2) π/2 3) 2π/3 4) 10π/3 Answer: (1) 0 Solution: cos-1(cos 5π/3) + sin-1(sin 5π/3) = cos-1[cos(2π –... View Article
If Sin Inverse A Sin Inverse B Sin Inverse C Pi Then
1) 2abc 2) abc 3) (1/2)abc 4) (1/3)abc Answer: (1) 2abc Solution: Given, sin-1(a) + sin-1(b) + sin-1(c) = π... View Article
Tan Inverse X Y Minus Tan Inverse X Minus Y
1) π/2 2) π/3 3) π/4 4) π/4 or -3π/4 Answer: (3) π/4 Solution: tan-1(x/y) – tan-1[(x – y)/(x +... View Article
If Cos Inverse X Plus Cos Inverse Y Plus Cos Inverse Z Cos Inverse T 4pi Then
1) xy + zy + zt 2) 1 – 2xyzt 3) 4 4) 6 Answer: (3) 4 Solution: We know... View Article
If Sin Inverse X Plus Sin Inverse Y 2pi 3 Then
1) 2π/3 2) π/3 3) π/6 4) π Answer: (2) π/3 Solution: Given, sin-1(x) + sin-1(y) = 2π/3 Using the... View Article
4 Tan Inverse 1 5 Minus Tan Inverse 1 70 Plus Tan Inverse 1 99
1) π/2 2) π/3 3) π/4 4) None of these Answer: (3) π/4 Solution: 4 tan-1(1/5) – tan-1(1/70) + tan-1(1/99)... View Article
For A Real X The Angle Sin Inverse Plus Cos Inverse Equals
1) π 2) π/2 3) 0 4) None of these Answer: (2) π/2 Solution: Let A = sin-1x x =... View Article
Cos Inverse 1 2 Plus 2 Sin Inverse 1 2 Is
1) π/4 2) π/6 3) π/3 4) 2π/3 Answer: (4) 2π/3 Solution: cos-1(1/2) + 2 sin-1(1/2) = cos-1(cos π/3) +... View Article
