If p is true or q is true or both p and q are true, then p⋁q is… true Let (p) be “she is beautiful” and (q) be “she is fat” . Express the statement “She is beautiful or fat” in symbolic form using p and q. Let (p) be “she is beautiful” and (q) be “she is fat” . Express the statement “She is beautiful but not fat” in symbolic form using p and q - 19 7 Two vectors are equal if their --------- are equal. A * magnitudes and directions B. directions C. sum and difference D. magnitude magnitudes and directions The magnitude of a vector R = 12i + 5j is ---------- 13 Find the unit vector in the direction of the vector 3i - 2j + 6k. ( 3i - 2j + 6k)/7 Given that R1 = 3i + 5j and R2 = 3i + 4j. Find the magnitude of a vector 2 R1 - 3R2 Given that R1 = 4i + 5j and R2 = - i + 3j. Find the magnitude of a vector R1 + 2R2 Find the vector in direction of the vector 2i -2 j -k. whose magnitude is 6. 4i -4j +2k Determine the unit vector in the direction of the vector 2i - 3j . Determine the vector whose magnitude is 5 in the direction of the vector i +2j . Given that R1 R2 and R3 are complex numbers .The following are true except ….. Evaluate (4+3i)^2 kl 1/2 If the distance between two points 3+2i and k+2i in the complex plane is 5, find k. -2 Express the complex number 12+5i in polar form. 13(cos 22.620 + isin22.620 ) Express the complex number 4+4i in polar form Find the distance between the points (1, -2) and (3, -6) . Determine the coordinate of the midpoint of the line joining the points (-5,-9) and (6, 8) (1/2, 1/2) Find the gradient and the angle of inclination of the straight line passing through the points (1, -3) and (4, 6). 3, 71.570 Given a circle with centre at the origin, which passes through the point ( 1, 1). Find its equation. Find the 10th term of an Arithmetic Sequence (A.P) whose first term is 42 and common difference is 4 78 An Arithmetic Sequence (A.P) has 17 terms and its first term is 2 and last term is 146. Find the common difference. 9 The second and eight terms of a geometric progression are 81/2 and 1/18 respectively. Find the common ratio. 1/3 If p is true, q is true; then p and q must be …….. *True* The meaning of the disjunction of p and q denoted by p⋁q is …...... *p or q* The meaning of the conjunction of p and q denoted by p∧q is …...... *p and q* What does the negation of p denoted by ∼p mean? *Not* The negation of contradiction is a …… *tautology* The negation of tautology is a ……… *Contradiction* A matrix in which all its diagonal elements are one (1), where all other elements are zero is called …….. *identify matrix* Find the determinant of the matrix abcd *ad-cb* A matrix in which its transpose is equal to itself is …… *symmetric matrix* A matrix is said to be ……. if the determinant is equal to zero. *Singular* The negation of tautology is a ……… *contradiction* If the conclusion derives its support from its premises, the argument is said to be … .. *Valid* Any matrix, which has the same number of rows and columns is called …. *square matrix* Let A =52n38 and B =c3k-1e be equal. Find elements e and k in matrix B *e= 8, k=4* A +B are equal to identity matrix, find x+y, where A =x-y2s-x and B=-5x-202y. *7* Any matrix of dimension (m x n) with all its elements equal to zero is called ….: *Void Matrix* Given that X=246 and Y= 35-7, Find XY *16* A matrix in which all its diagonal elements are one (1), where all other elements are zero is called …….. *Identify Matrix* Given that X=246 and Y= 35-7, Find XY *-16* The inter-changing of a matrix row with its column is called …….. *Transpose of a Matrix* The determinant of 3-211 is --------- *5* let *-7* If a matrix y482 . is singular, what is y?. *16* Given that AB→+BC→=AC→, then AC→ is called …… vector. *Resultant* Two vectors ai + bj and ci + dj are equal if ………. *a =c, b=d* The magnitude of a vector 3i - 4j is -------- *5* Determine the unit vector in the direction of the vector 5i - 12j. *(5i - 12j)/13* Simplify (1-2i2 . *-3-4i* Determine (1-i)/(1+i) *2* Find 7-3z if z =2+i. *1-3i* Determine 1-z2 , given that z =4 - i. *-14 +18i* Simply 3+4i/1-2i. *-1+2i* Express the complex number 21-2i-12-i in the form a+bi. *-3i/5* The square of the distance between two points Z1=1+3i and Z2=4+2i in the complex plane is given by……. *10* Find the equation of the line which passes through the pair of points (-1,-1) and (2, 2). *y -x =0* State the gradient and the y- intercept respectively of the line x − 4y − 8 = 0. *1/4, - 2* Find the equation of the line which is parallel to the line 2y + 5x = 1 and passes through the point of (4, 5). *2y -5x =30* Find the centre and radius of the circles x2 + y2− 2x + 12y +36 = 0 respectively.. *(1, -6), 1* Evaluate *-1* *-3* Evaluate limX→4⁡X-2x2- 42 *1/6* *-1/3* Let y=loge(4x+5)). dydx is ---- *4/(4x-5)* Differentiate f(x) = (x – 1)(3x – 2) with respect to x. *6x-5* Determine the gradient of the line joining the points (7, 3) and (4, -6) *3* Determine the distance between the midpoint D of the line joining AB (A(3, 4) and B(5, 8)) and C(1, 2) *5* Determine the gradient of a straight line passing through the point (2, 5) and (-6, 6). *1/8* Find the gradient and the angle of inclination respectively of the straight line passing through the points (-2, 4) and (3, 6). *2/5, 21.800* Find the value of x for which the curve has the maximum value. *-5* The value of i15 is ………………………………………….. *-i*