In ` A B C ,a=5,b=12 ,c=90^0a n dD` is a point on `A B` so that `/_B C D=45^0dot` Then which of the following is not true? `C D=(60sqrt(2))/(17)` (b) `B D=(65)/(17)` `A D=(60sqrt(2))/(17)` (d) none of these

Which of the following is a proper fraction? (13)/(17) (b) (17)/(13) (c) (12)/5 (d) 1 3/4

If a, b, c, d are in proportion, then a : b = c : d and written as a : b : : c : d . Which of the following is true?

If the integers a,b,c,d are in A.P a

If A B C and DEF are two triangles such that A B C ~= F D E a n d A B=5c m , /_B=40^0 a n d /_A=80^0dot Then, which of the following is true? D F=5c m , /_F=60^0 (b) D E=5c m , /_E=60^0 D F=5 c m , /_E=60^0 (d) D E=5c m , /_D=40^0

The distance of the point P(a ,\ b ,\ c) from the x-axis is a. sqrt(b^2+c^2) b. sqrt(a^2+c^2) c. sqrt(a^2+b^2) d. none of these

The statement (a+ib)<(c+id) is true for a^(2)+b^(2)=0( b) b^(2)+d^(2)=0b^(2)+c^(2)=0(d) None of these

If a 0, then sqrt(a)sqrt(b) is equal to (a) -sqrt(|a|b(b))sqrt(|a|bi(c))sqrt(|a|b)(d) none of these

In A B C ,/_A=90^0a n dA D is an altitude. Complete the relation (B D)/(D A)=(A B)/(()) .

In a "DeltaA B C","\ "/_"C"=60"\ "&\ /_A=75. If D is a point on A C such that area of the "DeltaB A D" is sqrt(3) times the area of the "DeltaB C D", then the /_"A B D"= 60^0 (b) 30^0 (c) 90^0 (d) none of these

In triangle A B C , if angle is 90^0 and the area of triangle is 30^0s qdot units, then the minimum possible value of the hypotenuse c is equal to 30sqrt(2) (b) 60sqrt(2) (c) 120sqrt(2) (d) 2sqrt(30)