Engineering Questions — Mathematics
122 solved questions with detailed explanations
Q.11. If the eccentricity of the hyperbola , passing through , satisfies , then the length of the latus rectum of the hyperbola is:
Q.13. The square of the distance of the point P(5, 6, 7) from the line is equal to :
Q.14. Let and . If is a vector such that and , then is equal to :
Q.14. If is the image of in the line , then the possible value(s) of is(are) :
Q.11. Let O be the vertex of the parabola and its chords OP and OQ are perpendicular to each other. If the locus of the mid-point of the line segment PQ is a conic C, then the length of its latus rec
Q.2. Let the sum of the first n terms of an A.P. be . Then the sum of squares of the first 10 terms of the A.P. is:
Q.6. The number of seven-digit numbers, that can be formed by using the digits 1, 2, 3, 5 and 7 such that each digit is used at least once, is :
Q.8. Let the mean and the variance of seven observations , , be 8 and 16 respectively. Then the quadratic equation whose roots are and is:
Q.18. The value of the integral is:
Q.15. Let and be unit vectors inclined at an acute angle such that . If . Then is equal to :